Dynamical Systems and Analysis

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2021

Ashwin P, Newman J. (2021) Physical invariant measures and tipping probabilities for chaotic attractors of asymptotically autonomous systems, European Physical Journal: Special Topics, DOI:10.1140/epjs/s11734-021-00114-z. [PDF]
Carney M, Holland M, Nicol M. (2021) Extremes and extremal indices for level set observables on hyperbolic systems, NONLINEARITY, volume 34, no. 2, pages 1136-1167, DOI:10.1088/1361-6544/abd85f. [PDF]
Lin C, Ashwin P, Steinberg G. (2021) Modelling the motion of organelles in an elongated cell via the coordination of heterogeneous drift-diffusion and long-range transport, The European Physical Journal E, volume 44, no. 2, article no. 10, DOI:10.1140/epje/s10189-020-00007-4. [PDF]
Zerenner T, Goodfellow M, Ashwin P. (2021) Harmonic cross-correlation decomposition for multivariate time series, Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, DOI:10.1103/PhysRevE.103.062213. [PDF]
Zhang Z, Páez Chávez J, Sieber J, Liu Y. (2021) Controlling grazing-induced multistability in a piecewise-smooth impacting system via the time-delayed feedback control, Nonlinear Dynamics, DOI:10.1007/s11071-021-06511-2. [PDF]
von der Heydt AS, Ashwin P, Camp CD, Crucifix M, Dijstra HA, Dijkstra HA, Ditlevsen P, Lenton TM. (2021) Quantification and interpretation of the climate variability record, Global and Planetary Change, volume 197, DOI:10.1016/j.gloplacha.2020.103399. [PDF]

2020

Ahsan Z, Dankowicz H, Sieber J. (2020) Correction to: Optimization along families of periodic and quasiperiodic orbits in dynamical systems with delay (Nonlinear Dynamics, (2020), 99, 1, (837-854), 10.1007/s11071-019-05304-y), Nonlinear Dynamics, volume 99, no. 3, DOI:10.1007/s11071-019-05417-4.
Ahsan Z, Dankowicz H, Sieber J. (2020) Correction to: Optimization along families of periodic and quasiperiodic orbits in dynamical systems with delay (Nonlinear Dynamics, (2020), 99, 1, (837-854), 10.1007/s11071-019-05304-y), Nonlinear Dynamics, volume 100, no. 1, DOI:10.1007/s11071-020-05525-6.
Ashwin P, Castro SBSD, Lohse A. (2020) Almost Complete and Equable Heteroclinic Networks, Journal of Nonlinear Science, volume 30, no. 1, DOI:10.1007/s00332-019-09566-z. [PDF]
Ceni A, Ashwin P, Livi L, Postlethwaite C. (2020) The echo index and multistability in input-driven recurrent neural networks, Physica D: Nonlinear Phenomena, volume 412, DOI:10.1016/j.physd.2020.132609. [PDF]
Cooper FC, Dueben PD, Denis C, Dawson A, Ashwin P. (2020) The Relationship between Numerical Precision and Forecast Lead Time in the Lorenz'95 System, MONTHLY WEATHER REVIEW, volume 148, no. 2, pages 849-855, DOI:10.1175/MWR-D-18-0200.1. [PDF]
Creaser J, Ashwin P, Tsaneva-Atanasova K. (2020) Sequential Escapes and Synchrony Breaking for Networks of Bistable Oscillatory Nodes, SIAM Journal on Applied Dynamical Systems, volume 19, no. 4, pages 2829-2846, DOI:10.1137/20m1345773. [PDF]
Newman J. (2020) Synchronisation of almost all trajectories of a random dynamical system, Discrete & Continuous Dynamical Systems - A, volume 40, no. 7, pages 4163-4177, DOI:10.3934/dcds.2020176. [PDF]
Nyman KHM, Ashwin P, Ditlevsen PD. (2020) Bifurcation of critical sets and relaxation oscillations in singular fast-slow systems, Nonlinearity, volume 33, no. 6, pages 2853-2904, DOI:10.1088/1361-6544/ab7292. [PDF]

2019

Alkhayuon H, Ashwin P, Jackson LC, Quinn C, Wood RA. (2019) Basin bifurcations, oscillatory instability and rate-induced thresholds for Atlantic meridional overturning circulation in a global oceanic box model, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, volume 475, no. 2225, DOI:10.1098/rspa.2019.0051. [PDF]
Ashwin P, Bick C, Poignard C. (2019) State-dependent effective interactions in oscillator networks through coupling functions with dead zones, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, volume 377, no. 2160, pages 20190042-20190042, DOI:10.1098/rsta.2019.0042. [PDF]
Ashwin P, von der Heydt AS. (2019) Extreme Sensitivity and Climate Tipping Points, Journal of Statistical Physics, volume 179, no. 5-6, pages 1531-1552, DOI:10.1007/s10955-019-02425-x. [PDF]
Ceni A, Ashwin P, Livi L. (2019) Interpreting Recurrent Neural Networks Behaviour via Excitable Network Attractors, Cognitive Computation, volume 12, no. 2, pages 330-356, DOI:10.1007/s12559-019-09634-2. [PDF]
Felemban L. (2019) Coupled Oscillators for orientation dynamics.
Felemban L. (2019) Coupled Oscillators for Orientation Dynamics. [PDF]
Pérez-Cervera A, Perez-Cervera A, Ashwin P, Huguet G, Seara TM, Rankin J. (2019) The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability, JOURNAL OF MATHEMATICAL NEUROSCIENCE, volume 9, article no. ARTN 7, DOI:10.1186/s13408-019-0075-2. [PDF]
Quinn C. (2019) Delayed effects and critical transitions in climate models. [PDF]
Sieber J, Hutchinson JW, Thompson JMT. (2019) Buckling Thresholds for Pre-loaded Spherical Shells Subject to Localized Blasts, Journal of Applied Mechanics, article no. JAM-19-1539, DOI:10.1115/1.4045588. [PDF]
Smug D. (2019) Critical Transitions in financial models: Bifurcation- and noise-induced phenomena. [PDF]
Wuyts B, Verschueren Van Rees N. (2019) Tropical tree cover in a heterogeneous environment: A reaction-diffusion model, PLoS ONE, DOI:10.1371/journal.pone.0218151. [PDF]
Yanchuk S, Ruschel S, Sieber J, Wolfrum M. (2019) Temporal dissipative solitons in time-delay feedback systems, Physical Review Letters. [PDF]

2018

Alkhayuon HM, Ashwin P. (2018) Rate-induced tipping from periodic attractors: Partial tipping and connecting orbits, Chaos, volume 28, no. 3, DOI:10.1063/1.5000418. [PDF]
Ashwin P, David Camp C, von der Heydt AS. (2018) Chaotic and non-chaotic response to quasiperiodic forcing: limits to predictability of ice ages paced by Milankovitch forcing, Dynamics and Statistics of the Climate System, volume 3, no. 1, DOI:10.1093/climsys/dzy002. [PDF]
Ashwin P, Postlethwaite C. (2018) Sensitive Finite-State Computations Using a Distributed Network With a Noisy Network Attractor, IEEE Transactions on Neural Networks and Learning Systems, volume 29, no. 12, pages 5847-5858, DOI:10.1109/TNNLS.2018.2813404. [PDF]
Ashwin P, Creaser J, Tsaneva-Atanasova K. (2018) Sequential escapes: onset of slow domino regime via a saddle connection, EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, volume 227, no. 10-11, pages 1091-1100, DOI:10.1140/epjst/e2018-800038-5. [PDF]
Biktasheva IV, Anderson RA, Holden AV, Pervolaraki E, Wen FC. (2018) Cardiac re-entry dynamics and self-termination in DT-MRI based model of human fetal heart, Frontiers in Physics, volume 5, no. FEB, DOI:10.3389/fphy.2018.00015.
Ceni A, Ashwin P, Livi L. (2018) Interpreting RNN behaviour via excitable network attractors, CoRR, volume abs/1807.10478.
Creaser J, Tsaneva-Atanasova K, Ashwin P. (2018) Sequential Noise-Induced Escapes for Oscillatory Network Dynamics, SIAM Journal on Applied Dynamical Systems, volume 17, no. 1, pages 500-525, DOI:10.1137/17m1126412. [PDF]
Ditlevsen PD, Ashwin P. (2018) Complex climate response to astronomical forcing: The middle-pleistocene transition in glacial cycles and changes in frequency locking, Frontiers in Physics, volume 6, no. JUN, DOI:10.3389/fphy.2018.00062. [PDF]
Quinn C, Sieber J, Heydt ASVD, Lenton TM. (2018) The Mid-Pleistocene Transition induced by delayed feedback and bistability, Dynamics and Statistics of the Climate System. [PDF]
Sadreev II, Chen MZQ, Umezawa Y, Biktashev VN, Kemper C, Salakhieva DV, Welsh GI, Kotov NV. (2018) The competitive nature of signal transducer and activator of transcription complex formation drives phenotype switching of T cells, Immunology, volume 153, no. 4, pages 488-501, DOI:10.1111/imm.12851. [PDF]
Sieber J, Marschler C, Starke J. (2018) Convergence of equation-free methods in the case of finite time scale separation with application to deterministic and stochastic systems, SIAM Journal on Applied Dynamical Systems, volume 17, no. 4, pages 2574-2614, DOI:10.1137/17M1126084. [PDF]
Smug D, Sornette D, Ashwin PB. (2018) A Generalized 2D-Dynamical Mean-Field Ising Model with a Rich Set of Bifurcations (Inspired and Applied to Financial Crises), International Journal of Bifurcation and Chaos, volume 28, pages 1830010-1830010, DOI:10.1142/S0218127418300100. [PDF]
Thoubaan M, Ashwin P. (2018) Existence and stability of chimera states in a minimal system of phase oscillators, Chaos: An Interdisciplinary Journal of Nonlinear Science, DOI:10.1063/1.5044750. [PDF]

2017

Aptekarev AI, Afendikov AL, Ataullakhanov FI, Balabaev NK, Biktashev VN, Biktasheva IV, Borisyuk RM, Vvedenskaya ND, Dagkesamanskii RD, Zarkhin YG. (2017) To the memory of Emmanuil El'evich Shnol, RUSSIAN MATHEMATICAL SURVEYS, volume 72, no. 1, pages 185-198, DOI:10.1070/RM9751. [PDF]
Ashwin P, Creaser J, Tsaneva-Atanasova K. (2017) Fast and slow domino regimes in transient network dynamics, PHYSICAL REVIEW E, volume 96, no. 5, article no. ARTN 052309, DOI:10.1103/PhysRevE.96.052309. [PDF]
Ashwin P, Perryman C, Wieczorek S. (2017) Parameter shifts for nonautonomous systems in low dimension: Bifurcation- and rate-induced tipping, Nonlinearity, volume 30, no. 6, pages 2185-2210, DOI:10.1088/1361-6544/aa675b. [PDF]
Bezekci B, Biktashev VN. (2017) Fast-slow asymptotic for semi-analytical ignition criteria in FitzHugh-Nagumo system, Chaos, volume 27, no. 9, DOI:10.1063/1.4999472. [PDF]
Holland MP, Todd M. (2017) WEAK CONVERGENCE TO EXTREMAL PROCESSES AND RECORD EVENTS FOR NON-UNIFORMLY HYPERBOLIC DYNAMICAL SYSTEMS, Ergodic Theory and Dynamical Systems. [PDF]
Hornung D, Biktashev VN, Otani NF, Shajahan TK, Baig T, Berg S, Han S, Krinsky VI, Luther S. (2017) Mechanisms of vortices termination in the cardiac muscle, Royal Society Open Science, volume 4, no. 3, DOI:10.1098/rsos.170024. [PDF]
Lin C, White RR, Sparkes I, Ashwin PB. (2017) Modelling endoplasmic reticulum network maintenance in a plant cell, Biophysical Journal, volume 113, pages 214-222, DOI:10.1016/j.bpj.2017.05.046. [PDF]
Luzyanina T, Sieber J, Engelborghs K, Samaey G, Roose D. (2017) Numerical bifurcation analysis of mathematical models with time delays with the package DDE-BIFTOOL, Mathematical Biology and Bioinformatics, volume 12, no. 2, pages 496-520, DOI:10.17537/2017.12.496.
Misiurewicz M, Rodrigues A. (2017) Counting preimages, ERGODIC THEORY AND DYNAMICAL SYSTEMS, volume 38, pages 1837-1856, DOI:10.1017/etds.2016.103.
Sieber J. (2017) Local bifurcations in differential equations with state-dependent delay, Chaos, volume 27, no. 11, DOI:10.1063/1.5011747. [PDF]
Thompson JMT, Hutchinson JW, Sieber J. (2017) Probing Shells Against Buckling: A Nondestructive Technique for Laboratory Testing, International Journal of Bifurcation and Chaos, volume 27, no. 14, DOI:10.1142/S0218127417300488. [PDF]
von der Heydt AS, Ashwin P. (2017) State dependence of climate sensitivity: attractor constraints and palaeoclimate regimes, Dynamics and Statistics of the Climate System, volume 1, no. 1, DOI:10.1093/climsys/dzx001. [PDF]

2016

Ashwin P, Rodrigues A. (2016) Hopf normal form with andlt;infandgt;SNandlt;/infandgt; symmetry and reduction to systems of nonlinearly coupled phase oscillators, Physica D: Nonlinear Phenomena, volume 325, pages 14-24, DOI:10.1016/j.physd.2016.02.009.
Ashwin P, Postlethwaite C. (2016) Quantifying noisy attractors: From heteroclinic to excitable networks, SIAM Journal on Applied Dynamical Systems, volume 15, no. 4, pages 1989-2016, DOI:10.1137/16M1061813. [PDF]
Ashwin P, Coombes S, Nicks R. (2016) Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience, Journal of Mathematical Neuroscience, volume 6, no. 1, pages 1-92, DOI:10.1186/s13408-015-0033-6. [PDF]
Ashwin P, Postlethwaite C. (2016) Designing Heteroclinic and Excitable Networks in Phase Space Using Two Populations of Coupled Cells, Journal of Nonlinear Science, volume 26, no. 2, pages 345-364, DOI:10.1007/s00332-015-9277-2. [PDF]
Bick C, Ashwin P. (2016) Chaotic weak chimeras and their persistence in coupled populations of phase oscillators, Nonlinearity, volume 29, no. 5, pages 1468-1486, DOI:10.1088/0951-7715/29/5/1468.
Bick C, Ashwin P, Rodrigues A, Rodrigues AR. (2016) Chaos in generically coupled phase oscillator networks with nonpairwise interactions, Chaos: An Interdisciplinary Journal of Nonlinear Science, volume 26, no. 9, pages 094814-094814, DOI:10.1063/1.4958928. [PDF]
Biktashev VN, Tsyganov MA. (2016) Quasisolitons in self-diffusive excitable systems, or Why asymmetric diffusivity obeys the Second Law, Scientific Reports, volume 6, DOI:10.1038/srep30879. [PDF]
Holland MP, Rabassa P, Sterk ae. (2016) Quantitative recurrence statistics and convergence to an extreme value distribution for non-uniformly hyperbolic dynamical systems, Nonlinearity, volume 146, pages 12-43, DOI:10.1088/0951-7715/29/8/2355. [PDF]
Holland MP, Nicol M, Torok A. (2016) Almost sure convergence of maxima for chaotic dynamical systems, Stochastic Processes and their Applications, volume 126, no. 10, pages 3145-3170, DOI:10.1016/j.spa.2016.04.023. [PDF]
Lin C, Schuster M, Guimaraes SC, Ashwin P, Schrader M, Metz J, Hacker C, Gurr SJ, Steinberg G. (2016) Active diffusion and microtubule-based transport oppose myosin forces to position organelles in cells, NATURE COMMUNICATIONS, volume 7, article no. ARTN 11814, DOI:10.1038/ncomms11814. [PDF]
Panaggio MJ, Abrams DM, Ashwin P, Laing CR. (2016) Chimera states in networks of phase oscillators: The case of two small populations, Physical Review E, volume 93, no. 1, DOI:10.1103/PhysRevE.93.012218. [PDF]
Ritchie P, Sieber J. (2016) Early-warning indicators for rate-induced tipping, Chaos, volume 26, no. 9, DOI:10.1063/1.4963012. [PDF]
Rodrigues A, Zhang Y. (2016) Fair measure and fair entropy for non-Markov interval maps, Stochastics and Dynamics, volume 17, no. 05, pages 1750035-1750035, DOI:10.1142/s0219493717500356.
Roslan UAM, Ashwin P. (2016) Local and global stability indices for a riddled basin attractor of a piecewise linear map, Dynamical Systems, volume 31, no. 3, pages 375-392, DOI:10.1080/14689367.2016.1148662. [PDF]
Thompson JMT, Sieber J. (2016) Shock-Sensitivity in Shell-Like Structures: With Simulations of Spherical Shell Buckling, International Journal of Bifurcation and Chaos, volume 26, no. 2, DOI:10.1142/S0218127416300032. [PDF]
von der Heydt AS, Dijkstra HA, van de Wal RSW, Caballero R, Crucifix M, Foster GL, Huber M, Kohler P, Rohling E, Valdes PJ. (2016) Lessons on Climate Sensitivity From Past Climate Changes, Current Climate Change Reports, volume 2, no. 4, pages 148-158, DOI:10.1007/s40641-016-0049-3.

2015

Ashwin P, Burylko O. (2015) Weak chimeras in minimal networks of coupled phase oscillators, Chaos, volume 25, no. 1, DOI:10.1063/1.4905197. [PDF]
Ashwin P, Ditlevsen P. (2015) The middle Pleistocene transition as a generic bifurcation on a slow manifold, CLIMATE DYNAMICS, volume 45, no. 9-10, pages 2683-2695, DOI:10.1007/s00382-015-2501-9. [PDF]
Ashwin P, Zaikin A. (2015) Pattern selection: the importance of how you get there, Biophys J, volume 108, no. 6, pages 1307-1308, DOI:10.1016/j.bpj.2015.01.036. [PDF]
Ashwin PB. (2015) CliMathNet website.
Bezekci B, Idris I, Simitev RD, Biktashev VN. (2015) Semianalytical approach to criteria for ignition of excitation waves, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, volume 92, no. 4, DOI:10.1103/PhysRevE.92.042917. [PDF]
Carvalho M, Moreira Freitas AC, Freitas JM, Holland M, Nicol M. (2015) Extremal dichotomy for uniformly hyperbolic systems, DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, volume 30, no. 4, pages 383-403, DOI:10.1080/14689367.2015.1056722. [PDF]
Gidea M, Sieber J, Silber M, Wieczorek S. (2015) Preface, Communications in Nonlinear Science and Numerical Simulation, volume 22, no. 1-3, pages 1-2, DOI:10.1016/j.cnsns.2014.10.026.
Holland M, Nicol M. (2015) Speed of convergence to an extreme value distribution for non-uniformly hyperbolic dynamical systems, STOCHASTICS AND DYNAMICS, volume 15, no. 4, article no. ARTN 1550028, DOI:10.1142/S0219493715500288. [PDF]
Hunter A, Stephenson DB, Economou T, Holland M, Cook I. (2015) New perspectives on the collective risk of extratropical cyclones, Quarterly Journal of the Royal Meteorological Society, volume 142, no. 694, pages 243-256, DOI:10.1002/qj.2649. [PDF]
Ismail A, Ashwin P. (2015) Multi-cluster dynamics in coupled phase oscillator networks, DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, volume 30, no. 1, pages 122-135, DOI:10.1080/14689367.2014.984917. [PDF]
Kharche SR, Biktasheva IV, Seemann G, Zhang H, Zhao J, Biktashev VN. (2015) Computational Modelling of Low Voltage Resonant Drift of Scroll Waves in the Realistic Human Atria, FUNCTIONAL IMAGING AND MODELING OF THE HEART (FIMH 2015), volume 9126, pages 421-429, DOI:10.1007/978-3-319-20309-6_48. [PDF]
Llibre J, Rodrigues A. (2015) Periodic orbits for real planar polynomial vector fields of degree n having n invariant straight lines taking into account their multiplicities, ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, no. 55. [PDF]
Llibre J, Rodrigues A. (2015) A non-autonomous kind of Duffing equation, APPLIED MATHEMATICS AND COMPUTATION, volume 251, pages 669-674, DOI:10.1016/j.amc.2014.11.007. [PDF]
Llibre J, Rodrigues A. (2015) On the Dynamics of the Unified Chaotic System Between Lorenz and Chen Systems, INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, volume 25, no. 9, article no. ARTN 1550122, DOI:10.1142/S0218127415501229. [PDF]
Marschler C, Sieber J, Hjorth PG, Starke J. (2015) Equation-free analysis of macroscopic behavior in traffic and pedestrian flow, Traffic and Granular Flow, 2013, pages 423-439, DOI:10.1007/978-3-319-10629-8_48. [PDF]
Starý T, Biktashev VN. (2015) Evaluating exponential integrators for Markov chain ion channel models, Computing in Cardiology, volume 42, pages 885-888, DOI:10.1109/CIC.2015.7411053.
Starý T, Biktashev VN. (2015) Exponential integrators for a Markov chain model of the fast sodium channel of cardiomyocytes, IEEE Trans Biomed Eng, volume 62, no. 4, pages 1070-1076, DOI:10.1109/TBME.2014.2366466. [PDF]
Sterk ae, Stephenson DB, Holland MP, Mylne KR. (2015) On the predictability of extremes: Does the butterfly effect ever decrease?, Quarterly Journal of the Royal Meteorological Society, DOI:10.1002/qj.2627. [PDF]
Thompson JMT, Sieber J. (2015) Nonlinear dynamic Interactions between flow-induced galloping and shell-like buckling, International Journal of Mechanical Sciences, volume 91, pages 91-98, DOI:10.1016/j.ijmecsci.2013.12.007. [PDF]
West S, Bridge LJ, White MRH, Paszek P, Biktashev VN. (2015) A method of 'speed coefficients' for biochemical model reduction applied to the NF-κB system, Journal of mathematical biology, volume 70, no. 3, pages 591-620.
West S, Bridge LJ, White MRH, Paszek P, Biktashev VN. (2015) A method of 'speed coefficients' for biochemical model reduction applied to the NF-κB system, Journal of Mathematical Biology, volume 70, no. 3, pages 591-620, DOI:10.1007/s00285-014-0775-x. [PDF]
Wolfrum M, Omel‘chenko OE, Sieber J. (2015) Regular and irregular patterns of self-localized excitation in arrays of coupled phase oscillators, Chaos, volume 25, no. 5, DOI:10.1063/1.4921297. [PDF]

2014

Biktashev VN. (2014) A simple mathematical model of gradual Darwinian evolution: Emergence of a Gaussian trait distribution in adaptation along a fitness gradient, Journal of Mathematical Biology, volume 68, no. 5, pages 1225-1248, DOI:10.1007/s00285-013-0669-3.
Biktashev VN. (2014) A simple mathematical model of gradual Darwinian evolution: emergence of a Gaussian trait distribution in adaptation along a fitness gradient, J Math Biol, volume 68, no. 5, pages 1225-1248, DOI:10.1007/s00285-013-0669-3. [PDF]
Denker M, Rodrigues A. (2014) Ergodicity of avalanche transformations, DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, volume 29, no. 4, pages 517-536, DOI:10.1080/14689367.2014.947244. [PDF]
Higuchi Y, Ashwin P, Roger Y, Steinberg G. (2014) Early endosome motility spatially organizes polysome distribution, J Cell Biol, volume 204, no. 3, pages 343-357, DOI:10.1083/jcb.201307164. [PDF]
Kharche SR, Stary T, Colman MA, Biktasheva IV, Workman AJ, Rankin AC, Holden AV, Zhang H. (2014) Effects of human atrial ionic remodelling by beta-blocker therapy on mechanisms of atrial fibrillation: a computer simulation, EUROPACE, volume 16, no. 10, pages 1524-1533, DOI:10.1093/europace/euu084. [PDF]
Krauskopf B, Sieber J. (2014) Bifurcation analysis of delay-induced resonances of the El-NiNo Southern Oscillation, Proc Math Phys Eng Sci, volume 470, no. 2169, DOI:10.1098/rspa.2014.0348. [PDF]
Langham J, Biktasheva I, Barkley D. (2014) Asymptotic dynamics of reflecting spiral waves, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, volume 90, no. 6, DOI:10.1103/PhysRevE.90.062902.
Lin C, Zhang Y, Sparkes I, Ashwin P. (2014) Structure and dynamics of ER: minimal networks and biophysical constraints, Biophys J, volume 107, no. 3, pages 763-772, DOI:10.1016/j.bpj.2014.06.032. [PDF]
Llibre J, Rodrigues A. (2014) ON THE LIMIT CYCLES OF THE FLOQUET DIFFERENTIAL EQUATION, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, volume 19, no. 4, pages 1129-1136, DOI:10.3934/dcdsb.2014.19.1129. [PDF]
Marschler C, Sieber J, Berkemer R, Kawamoto A, Starke J. (2014) Implicit methods for equation-free analysis: Convergence results and analysis of emergent waves in microscopic traffic models, SIAM Journal on Applied Dynamical Systems, volume 13, no. 3, pages 1202-1238, DOI:10.1137/130913961. [PDF]
Nakouzi E, Jiménez ZA, Biktashev VN, Steinbock O. (2014) Analysis of anchor-size effects on pinned scroll waves and measurement of filament rigidity, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, volume 89, no. 4, DOI:10.1103/PhysRevE.89.042902. [PDF]
Sieber J, Omel‘chenko OE, Wolfrum M. (2014) Controlling unstable chaos: stabilizing chimera states by feedback, Phys Rev Lett, volume 112, no. 5, DOI:10.1103/PhysRevLett.112.054102. [PDF]
Tsyganov MA, Biktashev VN. (2014) Classification of wave regimes in excitable systems with linear cross-diffusion, Physical Review E, volume 90, article no. 062912. [PDF]
Verrier P, Waters T, Sieber J. (2014) Evolution of the halo family in the radial solar sail circular restricted three-body problem, CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, volume 120, no. 4, pages 373-400, DOI:10.1007/s10569-014-9575-2. [PDF]

2013

Ashwin P, Postlethwaite C. (2013) On designing heteroclinic networks from graphs, Physica D: Nonlinear Phenomena, volume 265, pages 26-39, DOI:10.1016/j.physd.2013.09.006. [PDF]
Barton DAW, Sieber J. (2013) Systematic experimental exploration of bifurcations with noninvasive control, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, volume 87, no. 5, DOI:10.1103/PhysRevE.87.052916. [PDF]
Barton DAW, Sieber J. (2013) Systematic experimental exploration of bifurcations with noninvasive control, Phys Rev E Stat Nonlin Soft Matter Phys, volume 87, no. 5, DOI:10.1103/PhysRevE.87.052916. [PDF]
Byott NP, Holland M, Zhang Y. (2013) On the mixing properties of piecewise expanding maps under composition with permutations, Discrete and Continuous Dynamical Systems- Series A, volume 33, no. 8, pages 3365-3390, DOI:10.3934/dcds.2013.33.3365. [PDF]
Diosdado JAV, Ashwin P, Kohary KI, Wright CD. (2013) Response to comment on 'Threshold switching via electric field induced crystallization in phase change memory devices' [Appl. Phys. Lett. 102, 236101 (2012)], Applied Physics Letters, volume 102, no. 23, DOI:10.1063/1.4809722. [PDF]
Hobbs C, Ashwin P, Wieczorek S, Vitolo R, Cox P. (2013) Erratum: Tipping points in open systems: Bifurcation, noise-included and rate-dependent examples in the climate system (Philosophical Transactions of the Royal Society A (2012) 370 (1166-1184) DOI: 10.1098/rsta.2011.0306), Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, volume 371, no. 1994, DOI:10.1098/rsta.2013.0098.
Holland M, Zhang Y. (2013) Dimension results for inhomogeneous Moran set constructions, Dynamical Systems, volume 28, no. 2, pages 222-250, DOI:10.1080/14689367.2013.800470.
Kenitz K, Williams RG, Sharples J, Selsil O, Biktashev VN. (2013) The paradox of the plankton: Species competition and nutrient feedback sustain phytoplankton diversity, Marine Ecology Progress Series, volume 490, pages 107-119, DOI:10.3354/meps10452. [PDF]
Kharche S, Beling J, Biktasheva IV, Zhang H, Biktashev VN. (2013) Simulating cell apoptosis induced sinus node dysfunction, Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference, volume 2013, pages 6842-6845, DOI:10.1109/EMBC.2013.6611129.
Kharche S, Beling J, Biktasheva IV, Zhang H, Biktashev VN. (2013) Simulating cell apoptosis induced sinus node dysfunction, United States, Annu Int Conf IEEE Eng Med Biol Soc, volume 2013, pages 6842-6845, DOI:10.1109/EMBC.2013.6611129. [PDF]
Kharche SR, Biktasheva IV, Zhang H, Biktashev VN. (2013) Simulating the role of anisotropy in human atrial cardioversion, Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference, volume 2013, pages 6838-6841, DOI:10.1109/EMBC.2013.6611128.
Kharche SR, Biktasheva IV, Zhang H, Biktashev VN. (2013) Simulating the role of anisotropy in human atrial cardioversion, Annu Int Conf IEEE Eng Med Biol Soc, volume 2013, pages 6838-6841, DOI:10.1109/EMBC.2013.6611128. [PDF]
Lin C, Ashwin P, Steinberg G. (2013) Motor-mediated bidirectional transport along an antipolar microtubule bundle: A mathematical model, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, volume 87, no. 5, DOI:10.1103/PhysRevE.87.052709. [PDF]
Misiurewicz M, Rodrigues A. (2013) Turning numbers for periodic orbits of disk homeomorphisms, Journal of Fixed Point Theory and Applications, volume 13, no. 1, pages 241-258, DOI:10.1007/s11784-013-0113-8.
Rapaport A, Sieber J, Rodrigues S, Desroches M. (2013) Extremum seeking via continuation techniques for optimizing biogas production in the chemostat, IFAC Proceedings Volumes (IFAC-PapersOnline), volume 46, no. 23 PART 1, pages 152-157, DOI:10.3182/20130904-3-FR-2041.00053.
Sieber J, Wolfrum M, Lichtner M, Yanchuk S. (2013) On the stability of periodic orbits in delay equations with large delay, Discrete and Continuous Dynamical Systems- Series A, volume 33, no. 7, pages 3109-3134, DOI:10.3934/dcds.2013.33.3109.
Sieber J, Rapaport A, Rodrigues S, Desroches M. (2013) A method for the reconstruction of unknown non-monotonic growth functions in the chemostat, Bioprocess and Biosystems Engineering, volume 36, no. 10, pages 1497-1507, DOI:10.1007/s00449-013-0912-8.
Thompson JMT, Sieber J. (2013) Noise-induced jumping prior to a fold: Applied to climate tipping predictions, IUTAM Bookseries, volume 32, pages 3-16, DOI:10.1007/978-94-007-5742-4_1.

2012

Ashwin P, Wieczorek S, Vitolo R, Cox P. (2012) Tipping points in open systems: bifurcation, noise-induced and rate-dependent examples in the climate system, PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, volume 370, no. 1962, pages 1166-1184, DOI:10.1098/rsta.2011.0306. [PDF]
Benjamin O, Fitzgerald THB, Fitzgerald TH, Ashwin P, Tsaneva-Atanasova K, Chowdhury F, Richardson MP, Terry JR. (2012) A phenomenological model of seizure initiation suggests network structure may explain seizure frequency in idiopathic generalised epilepsy, Journal of Mathematical Neuroscience, volume 2, no. 1, DOI:10.1186/2190-8567-2-1. [PDF]
Biktasheva IV, Sarvazyan NA, Biktashev VN. (2012) Dynamics of scroll waves of excitation in a mathematical model of ischaemic border zone, Computing in Cardiology, volume 39, pages 445-448.
Dierckx H, Verschelde H, Selsil O, Biktashev VN. (2012) Buckling of Scroll Waves, PHYSICAL REVIEW LETTERS, volume 109, no. 17, article no. ARTN 174102, DOI:10.1103/PhysRevLett.109.174102. [PDF]
Glendinning P, Ashwin P, Broomhead D, Callard R, Nicol M, Sturman R. (2012) Untitled, DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, volume 27, no. 1, pages 1-9, DOI:10.1080/14689367.2012.664405. [PDF]
Holland M, Nicol M, Torok A. (2012) Extreme value theory for non-uniformly expanding dynamical systems, Transactions of the American Mathematical Society, volume 364, no. 2, pages 661-688, DOI:10.1090/S0002-9947-2011-05271-2.
Holland MP, Vitolo R, Rabassa P, Sterk ae, Broer HW. (2012) Extreme value laws in dynamical systems under physical observables, Physica D: Nonlinear Phenomena, volume 241, no. 5, pages 497-513, DOI:10.1016/j.physd.2011.11.005.
Kharche S, Biktasheva I, Seemann G, Zhang HG, Biktashev V. (2012) Cardioversion using feedback stimuli in human atria, Computing in Cardiology, volume 39, pages 133-136.
Kohary K, Vazquez-Diosdado J, Vazquez Diosdado J, Ashwin P, Wright CD. (2012) Role of enthalpy and relative electric permittivity in electric field induced nucleation, Materials Research Society Symposium Proceedings, volume 1431, pages 37-42, DOI:10.1557/opl.2012.1405.
Kohary K, Diosdado JAV, Vazquez Diosdado J, Ashwin P, Wright CD. (2012) Electric-field-assisted crystallisation in phase-change materials, Physica Status Solidi (B) Basic Research, volume 249, no. 10, pages 1897-1901, DOI:10.1002/pssb.201200376.
Misiurewicz M, Rodrigues A. (2012) Fixed points for positive permutation braids, Fundamenta Mathematicae, volume 216, no. 2, pages 129-146, DOI:10.4064/fm216-2-4.
Sieber J, Rapaport A, Rodrigues S, Desroches M. (2012) A new method for the reconstruction of unknown non-monotonic growth functions in the chemostat, 2012 20th Mediterranean Conference on Control and Automation, MED 2012 - Conference Proceedings, pages 169-175, DOI:10.1109/MED.2012.6265633.
Sieber J. (2012) Finding periodic orbits in state-dependent delay differential equations as roots of algebraic equations, Discrete and Continuous Dynamical Systems, volume 32, no. 8, pages 2607-2651, DOI:10.3934/dcds.2012.32.2607. [PDF]
Sieber J, Thompson JMT. (2012) Nonlinear softening as a predictive precursor to climate tipping, Philos Trans A Math Phys Eng Sci, volume 370, no. 1962, pages 1205-1227, DOI:10.1098/rsta.2011.0372. [PDF]
Sterk ae, Holland MP, Rabassa P, Broer HW, Vitolo R. (2012) Predictability of extreme values in geophysical models, Nonlinear Processes in Geophysics, volume 19, no. 5, pages 529-539, DOI:10.5194/npg-19-529-2012.
Thompson JMT, Sieber J. (2012) Climate predictions: the influence of nonlinearity and randomness, Philos Trans A Math Phys Eng Sci, volume 370, no. 1962, pages 1007-1011, DOI:10.1098/rsta.2011.0423. [PDF]
Vázquez Diosdado JA, Diosdado JAV, Vazquez Diosdado JA, Ashwin P, Kohary KI, Wright CD. (2012) Threshold switching via electric field induced crystallization in phase-change memory devices, APPLIED PHYSICS LETTERS, volume 100, no. 25, article no. ARTN 253105, DOI:10.1063/1.4729551. [PDF]
Wright CD, Wang L, Aziz MM, Vazquez Diosdado JA, Diosdado JAV, Ashwin P. (2012) Phase-change processors, memristors and memflectors, Physica Status Solidi (B) Basic Research, volume 249, no. 10, pages 1978-1984, DOI:10.1002/pssb.201200378.

2011

Aguiar M, Ashwin P, Dias A, Field M. (2011) Dynamics of Coupled Cell Networks: Synchrony, Heteroclinic Cycles and Inflation, JOURNAL OF NONLINEAR SCIENCE, volume 21, no. 2, pages 271-323, DOI:10.1007/s00332-010-9083-9. [PDF]
Ashwin P, Karabacak O. (2011) Robust Heteroclinic Behaviour, Synchronization, and Ratcheting of Coupled Oscillators, DYNAMICS, GAMES AND SCIENCE II, volume 2, pages 125-140, DOI:10.1007/978-3-642-14788-3_10. [PDF]
Belmont MR, Ashwin P. (2011) The independent variable interpolation technique for nonuniformly sampled shallow-angle lidar data, Journal of Atmospheric and Oceanic Technology, volume 28, no. 12, pages 1672-1678, DOI:10.1175/JTECH-D-11-00037.1.
Bick C, Timme M, Paulikat D, Rathlev D, Ashwin P. (2011) Chaos in Symmetric Phase Oscillator Networks, PHYSICAL REVIEW LETTERS, volume 107, no. 24, article no. ARTN 244101, DOI:10.1103/PhysRevLett.107.244101. [PDF]
Biktashev V, Arutunyan A, Sarvazyan N. (2011) Ischemic Boundary as a Source of Scroll Waves: A Three-Dimensional View, BIOPHYSICAL JOURNAL, volume 100, no. 3, pages 439-439. [PDF]
Biktashev VN, Tsyganov MA. (2011) Envelope quasisolitons in dissipative systems with cross-diffusion, Phys Rev Lett, volume 107, no. 13, DOI:10.1103/PhysRevLett.107.134101. [PDF]
Biktashev VN, Biktasheva IV, Sarvazyan NA. (2011) Evolution of spiral and scroll waves of excitation in a mathematical model of ischaemic border zone, PLoS One, volume 6, no. 9, DOI:10.1371/journal.pone.0024388. [PDF]
Gupta C, Holland M, Nicol M. (2011) Extreme value theory and return time statistics for dispersing billiard maps and flows, Lozi maps and Lorenz-like maps, Ergodic Theory and Dynamical Systems, volume 31, no. 5, pages 1363-1390, DOI:10.1017/S014338571000057X.
Horton B, Sieber J, Thompson JMT, Wiercigroch M. (2011) Dynamics of the nearly parametric pendulum, International Journal of Non-Linear Mechanics, volume 46, no. 2, pages 436-442, DOI:10.1016/j.ijnonlinmec.2010.11.003. [PDF]
Karabacak O, Ashwin P. (2011) On statistical attractors and the convergence of time averages, Mathematical Proceedings of the Cambridge Philosophical Society, volume 150, no. 2, pages 353-365, DOI:10.1017/S0305004110000642. [PDF]
Lin C, Steinberg G, Ashwin P. (2011) Bidirectional transport and pulsing states in a multi-lane ASEP model, JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, article no. ARTN P09027, DOI:10.1088/1742-5468/2011/09/P09027. [PDF]
Misiurewicz ML, Rodrigues A. (2011) Non-generic cusps, Transactions of the American Mathematical Society, volume 363, no. 7, pages 3553-3572, DOI:10.1090/S0002-9947-2011-05114-7.
Podvigina O, Ashwin P. (2011) On local attraction properties and a stability index for heteroclinic connections, NONLINEARITY, volume 24, no. 3, pages 887-929, DOI:10.1088/0951-7715/24/3/009. [PDF]
Schuster M, Kilaru S, Ashwin P, Lin C, Severs NJ, Steinberg G. (2011) Controlled and stochastic retention concentrates dynein at microtubule ends to keep endosomes on track, EMBO J, volume 30, no. 4, pages 652-664, DOI:10.1038/emboj.2010.360. [PDF]
Sieber J, Kalmár-Nagy T. (2011) Stability of a chain of phase oscillators, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, volume 84, no. 1, DOI:10.1103/PhysRevE.84.016227.
Sieber J, Krauskopf B, Wagg D, Neild S, Gonzalez-Buelga A. (2011) Control-based continuation of unstable periodic orbits, Journal of Computational and Nonlinear Dynamics, volume 6, no. 1, DOI:10.1115/1.4002101. [PDF]
Sieber J, Szalai R. (2011) Characteristic matrices for linear periodic delay differential equations, SIAM Journal on Applied Dynamical Systems, volume 10, no. 1, pages 129-147, DOI:10.1137/100796455. [PDF]
Simitev RD, Biktashev VN. (2011) Asymptotics of conduction velocity restitution in models of electrical excitation in the heart, Bull Math Biol, volume 73, no. 1, pages 72-115, DOI:10.1007/s11538-010-9523-6. [PDF]
Thompson JMT, Sieber J. (2011) Climate tipping as a noisy bifurcation: A predictive technique, IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), volume 76, no. 1, pages 27-46, DOI:10.1093/imamat/hxq060. [PDF]
Thompson JMT, Sieber J. (2011) Predicting climate tipping as a noisy bifurcation: A review, International Journal of Bifurcation and Chaos, volume 21, no. 2, pages 399-423, DOI:10.1142/S0218127411028519. [PDF]
Wieczorek S, Ashwin P, Luke CM, Cox PM. (2011) Excitability in ramped systems: the compost-bomb instability, PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, volume 467, no. 2129, pages 1243-1269, DOI:10.1098/rspa.2010.0485. [PDF]

2010

Afraimovich V, Ashwin P, Kirk V. (2010) Robust heteroclinic and switching dynamics, Dynamical Systems, volume 25, no. 3, pages 285-286, DOI:10.1080/14689367.2010.522390.
Ashwin P, Podvigina O. (2010) Noise-induced switching near a depth two heteroclinic network and an application to Boussinesq convection, Chaos, volume 20, no. 2, DOI:10.1063/1.3439320. [PDF]
Ashwin P, Orosz G, Borresen J. (2010) Heteroclinic switching in coupled oscillator networks: Dynamics on odd graphs, Understanding Complex Systems, volume 2010, pages 31-50, DOI:10.1007/978-3-642-04629-2_3.
Ashwin P, Ashwin PB, Lin C, Steinberg G. (2010) Queueing induced by bidirectional motor motion near the end of a microtubule, PHYSICAL REVIEW E, volume 82, no. 5, article no. ARTN 051907, DOI:10.1103/PhysRevE.82.051907. [PDF]
Ashwin P, Goetz A. (2010) Cone exchange transformations and boundedness of orbits, Ergodic Theory and Dynamical Systems, volume 30, no. 5, pages 1311-1330, DOI:10.1017/S0143385709000625. [PDF]
Ashwin P, Lavric A. (2010) A low-dimensional model of binocular rivalry using winnerless competition, PHYSICA D-NONLINEAR PHENOMENA, volume 239, no. 9, pages 529-536, DOI:10.1016/j.physd.2009.06.018. [PDF]
Biktashev VN, Barkley D, Biktasheva IV. (2010) Orbital motion of spiral waves in excitable media, Phys Rev Lett, volume 104, no. 5, DOI:10.1103/PhysRevLett.104.058302. [PDF]
Biktasheva IV, Barkley D, Biktashev VN, Foulkes AJ. (2010) Computation of the drift velocity of spiral waves using response functions, Phys Rev E Stat Nonlin Soft Matter Phys, volume 81, no. 6 Pt 2, DOI:10.1103/PhysRevE.81.066202. [PDF]
Chawanya T, Ashwin P. (2010) A minimal system with a depth-two heteroclinic network, Dynamical Systems, volume 25, no. 3, pages 397-412, DOI:10.1080/14689367.2010.500102.
Foulkes AJ, Barkley D, Biktashev VN, Biktasheva IV. (2010) Alternative stable scroll waves and conversion of autowave turbulence, Chaos, volume 20, no. 4, DOI:10.1063/1.3517079. [PDF]
Foulkes AJ, Biktashev VN. (2010) Riding a spiral wave: numerical simulation of spiral waves in a comoving frame of reference, Phys Rev E Stat Nonlin Soft Matter Phys, volume 81, no. 4 Pt 2, DOI:10.1103/PhysRevE.81.046702. [PDF]
Karabacak O, Ashwin P. (2010) Heteroclinic Ratchets in Networks of Coupled Oscillators, JOURNAL OF NONLINEAR SCIENCE, volume 20, no. 1, pages 105-129, DOI:10.1007/s00332-009-9053-2. [PDF]
Rodrigues AMD, Llibre J. (2010) On the periodic orbits of Hamiltonian systems, Journal of Mathematical Physics, volume 51, article no. 042704, DOI:10.1063/1.3387343.
Sieber J, Kowalczyk P, Hogan SJ, Di Bernardo M. (2010) Dynamics of symmetric dynamical systems with delayed switching, JVC/Journal of Vibration and Control, volume 16, no. 7-8, pages 1111-1140, DOI:10.1177/1077546309341124. [PDF]
Sieber J, Kowalczyk P. (2010) Small-scale instabilities in dynamical systems with sliding, Physica D: Nonlinear Phenomena, volume 239, no. 1-2, pages 44-57, DOI:10.1016/j.physd.2009.10.003. [PDF]
Vazquez J, Ashwin P, Kohary K, Kohary KI, Wright CD. (2010) Phase-change RAM modelling and design via a Gillespie-type cellular automata approach, 2010 IEEE International Conference on Electronics, Circuits, and Systems, ICECS 2010 - Proceedings, pages 1013-1016, DOI:10.1109/ICECS.2010.5724686.
Wright CD, Ashawaraya S, Ashwin P, Aziz MM, Hicken RJ, Kohary K, Liu Y, Marmier ASH, Shah P, Vazquez Diosdado J. (2010) Phase-change technologies: from PCRAM to probe-storage to processors, European Phase Change and Ovonics Science Symposium 2010. [PDF]
al Azad AK, Ashwin P. (2010) Within-Burst Synchrony Changes for Coupled Elliptic Bursters, SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, volume 9, no. 1, pages 261-281, DOI:10.1137/090746045. [PDF]

2009

Ashwin P, Fu X, Lin C. (2009) On planar piecewise and two-torus parabolic maps, International Journal of Bifurcation and Chaos, volume 19, no. 7, pages 2383-2390, DOI:10.1142/S0218127409024153.
Benedicks M, Rodrigues A. (2009) Kneading sequences for double standard maps, Fundamenta Mathematicae, volume 206, no. 1, pages 61-75, DOI:10.4064/fm206-0-5.
Biktashev VN. (2009) Resonance and feedback strategies for low-voltage defibrillation, 493-510, DOI:10.1007/978-0-387-79403-7_20.
Biktashev VN, Tsyganov MA. (2009) Spontaneous traveling waves in oscillatory systems with cross diffusion, Phys Rev E Stat Nonlin Soft Matter Phys, volume 80, no. 5 Pt 2, DOI:10.1103/PhysRevE.80.056111. [PDF]
Biktasheva IV, Barkley D, Biktashev VN, Bordyugov GV, Foulkes AJ. (2009) Computation of the response functions of spiral waves in active media, Phys Rev E Stat Nonlin Soft Matter Phys, volume 79, no. 5 Pt 2, DOI:10.1103/PhysRevE.79.056702. [PDF]
Dias APS, Rodrigues A. (2009) Hopf bifurcation with Sandlt;infandgt;Nandlt;/infandgt;-symmetry, Nonlinearity, volume 22, no. 3, pages 627-666, DOI:10.1088/0951-7715/22/3/007.
Dias APS, Matthews PC, Rodrigues A. (2009) Generating functions for hopf bifurcation with Sandlt;infandgt;nandlt;/infandgt;-symmetry, Discrete and Continuous Dynamical Systems, volume 25, no. 3, pages 823-842, DOI:10.3934/dcds.2009.25.823.
Morgan SW, Plank G, Biktasheva IV, Biktashev VN. (2009) Low energy defibrillation in human cardiac tissue: a simulation study, Biophys J, volume 96, no. 4, pages 1364-1373, DOI:10.1016/j.bpj.2008.11.031. [PDF]
Orosz G, Moehlis J, Ashwin P. (2009) Designing the dynamics of globally coupled oscillators, Progress of Theoretical Physics, volume 122, no. 3, pages 611-630, DOI:10.1143/PTP.122.611. [PDF]
Orosz G, Ashwin P, Townley S. (2009) Learning of spatio-temporal codes in a coupled oscillator system, IEEE Trans Neural Netw, volume 20, no. 7, pages 1135-1147, DOI:10.1109/TNN.2009.2016658. [PDF]
Tsyganov MA, Ivanitsky GR, Biktashev VN. (2009) Running tails as codimension two quasi-solitons in excitation taxis waves with negative refractoriness, Chaos, Solitons and Fractals, volume 40, no. 5, pages 2271-2276, DOI:10.1016/j.chaos.2007.10.014.
Tsyganov MA, Biktashev VN, Ivanitsky GR. (2009) Negative refractoriness in excitable systems with cross-diffusion, Biophysics, volume 54, no. 4, pages 513-518, DOI:10.1134/S0006350909040186.
Tsyganov MA, Biktashev VN, Ivannitskiĭ GR. (2009) [Negative refractoriness in excitable systems with cross-diffusion], Biofizika, volume 54, no. 4, pages 704-709. [PDF]
Vitolo R, Holland MP, Ferro CAT. (2009) Robust extremes in chaotic deterministic systems, CHAOS, volume 19, no. 4, article no. ARTN 043127, DOI:10.1063/1.3270389. [PDF]

2008

Ashwin P, Patnaik BSV, Wright CD. (2008) Fast simulation of phase-change processes in chalcogenide alloys using a Gillespie-type cellular automata approach, JOURNAL OF APPLIED PHYSICS, volume 104, no. 8, article no. ARTN 084901, DOI:10.1063/1.2978334. [PDF]
Ashwin P, Burylko O, Maistrenko Y. (2008) Bifurcation to heteroclinic cycles and sensitivity in three and four coupled phase oscillators, Physica D: Nonlinear Phenomena, volume 237, no. 4, pages 454-466, DOI:10.1016/j.physd.2007.09.015. [PDF]
Biktashev VN, Idris I. (2008) Initiation of excitation waves: An analytical approach, Computers in Cardiology, volume 35, pages 311-314, DOI:10.1109/CIC.2008.4749040.
Biktashev VN, Suckley R, Elkin YE, Simitev RD. (2008) Asymptotic analysis and analytical solutions of a model of cardiac excitation, Bull Math Biol, volume 70, no. 2, pages 517-554, DOI:10.1007/s11538-007-9267-0. [PDF]
Biktashev VN, Arutunyan A, Sarvazyan NA. (2008) Generation and escape of local waves from the boundary of uncoupled cardiac tissue, Biophys J, volume 94, no. 9, pages 3726-3738, DOI:10.1529/biophysj.107.117630. [PDF]
Biktasheva IV, Morgan SW, Plank G, Biktashev VN. (2008) Feedback control of resonant drift as a tool for low voltage defibrillation, Computers in Cardiology, volume 35, pages 501-504, DOI:10.1109/CIC.2008.4749088.
Idris I, Biktashev VN. (2008) Analytical approach to initiation of propagating fronts, Physical Review Letters, volume 101, no. 24, DOI:10.1103/PhysRevLett.101.244101. [PDF]
McFarlane RM, Biktasheva IV. (2008) High performance computing for the simulation of cardiac eleetrophysiology, Proceedings - The 3rd International Conference on Software Engineering Advances, ICSEA 2008, Includes ENTISY 2008: International Workshop on Enterprise Information Systems, pages 13-18, DOI:10.1109/ICSEA.2008.34.
Misiurewicz M, Rodrigues A. (2008) On the tip of the tongue, Journal of Fixed Point Theory and Applications, volume 3, no. 1, pages 131-141, DOI:10.1007/s11784-008-0052-y.
Morgan SW, Biktasheva IV, Biktashev VN. (2008) Control of scroll-wave turbulence using resonant perturbations, Phys Rev E Stat Nonlin Soft Matter Phys, volume 78, no. 4 Pt 2, DOI:10.1103/PhysRevE.78.046207. [PDF]
Sieber J, Krauskopf B. (2008) Tracking of nonlinear oscillations in hybrid experiments, 7th European Conference on Structural Dynamics, EURODYN 2008.
Sieber J, Krauskopf B. (2008) Tracking oscillations in the presence of delay-induced essential instability, Journal of Sound and Vibration, volume 315, no. 3, pages 781-795, DOI:10.1016/j.jsv.2007.12.016.
Sieber J, Wagg DJ, Adhikari S. (2008) On the interaction of exponential non-viscous damping with symmetric nonlinearities, Journal of Sound and Vibration, volume 314, no. 1-2, pages 1-11, DOI:10.1016/j.jsv.2007.12.017.
Sieber J, Krauskopf B. (2008) Control based bifurcation analysis for experiments, Nonlinear Dynamics, volume 51, no. 3, pages 365-377, DOI:10.1007/s11071-007-9217-2.
Sieber J, Gonzalez-Buelga A, Neild SA, Wagg DJ, Krauskopf B. (2008) Experimental continuation of periodic orbits through a fold, Phys Rev Lett, volume 100, no. 24, DOI:10.1103/PhysRevLett.100.244101. [PDF]
Trovati M, Ashwin P, Byott N. (2008) Packings induced by piecewise isometries cannot contain the Arbelos, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, volume 22, no. 3, pages 791-806. [PDF]
Trovati M, Ashwin P, Byott N. (2008) Packings induced by piecewise isometries cannot contain the arbelos, Discrete and Continuous Dynamical Systems, volume 22, no. 3, pages 791-806, DOI:10.3934/dcds.2008.22.791.
Wordsworth J, Ashwin P. (2008) Spatiotemporal coding of inputs for a system of globally coupled phase oscillators, PHYSICAL REVIEW E, volume 78, no. 6, article no. ARTN 066203, DOI:10.1103/PhysRevE.78.066203. [PDF]

2007

Ashwin P, Orosz G, Wordsworth J, Townley S. (2007) Dynamics on networks of cluster states for globally coupled phase oscillators, SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, volume 6, no. 4, pages 728-758, DOI:10.1137/070683969. [PDF]
Bhansali RJ, Holland MP, Kokoszka PS. (2007) Intermittency, long memory and financial returns, Long Memory in Economics, pages 39-68.
Bhansali RJ, Holland MP. (2007) Frequency analysis of chaotic intermittency maps with slowly decaying correlations, Statistica Sinica, volume 17, no. 1, pages 15-41.
Holland M, Melbourne I. (2007) Central limit theorems and invariance principles for Lorenz attractors, Journal of the London Mathematical Society, volume 76, no. 2, pages 345-364, DOI:10.1112/jlms/jdm060.
Idris I, Biktashev VN. (2007) Critical fronts in initiation of excitation waves, Phys Rev E Stat Nonlin Soft Matter Phys, volume 76, no. 2 Pt 1, DOI:10.1103/PhysRevE.76.021906. [PDF]
Misiurewicz M, Rodrigues A. (2007) Double standard maps, Communications in Mathematical Physics, volume 273, no. 1, pages 37-65, DOI:10.1007/s00220-007-0223-5.
Orosz G, Ashwin P, Wordsworth J, Townley S. (2007) Cluster synchronization, switching and spatio-temporal coding in a phase oscillator network, Proceedings of Applied Mathematics and Mechanics, volume 7, pages 1030703-1030704. [PDF]
Podvigina O, Ashwin P. (2007) The 1 : sqrt(2) mode interaction and heteroclinic networks in Boussinesq convection, Physica D: Nonlinear Phenomena, volume 234, no. 1, pages 23-48, DOI:10.1016/j.physd.2007.06.024. [PDF]
Sieber J, Krauskopf B. (2007) Control-based continuation of periodic orbits with a time-delayed difference scheme, International Journal of Bifurcation and Chaos, volume 17, no. 8, pages 2579-2593, DOI:10.1142/S0218127407018646.
Trovati M, Ashwin P. (2007) Tangency properties of a pentagonal tiling generated by a piecewise isometry, Chaos, volume 17, no. 4, DOI:10.1063/1.2825291. [PDF]
Tsyganov MA, Biktashev VN, Brindley J, Holden AV, Ivanitsky GR. (2007) Waves in systems with cross-diffusion as a new class of nonlinear waves, Physics-Uspekhi, volume 50, no. 3, pages 263-286, DOI:10.1070/PU2007v050n03ABEH006114.
Wright CD, Ashwin P, Blyuss K. (2007) Master-equation approach to understanding multistate phase-change memories and processors, APPLIED PHYSICS LETTERS, volume 90, no. 6, article no. ARTN 063113, DOI:10.1063/1.2475606. [PDF]

2006

Ashwin P, Burylko O, Maistrenko Y, Popovych O. (2006) Extreme sensitivity to detuning for globally coupled phase oscillators, PHYSICAL REVIEW LETTERS, volume 96, no. 5, article no. ARTN 054102, DOI:10.1103/PhysRevLett.96.054102. [PDF]
Ashwin P, Goetz A. (2006) Polygonal invariant curves for a planar piecewise isometry, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, volume 358, no. 1, pages 373-390, DOI:10.1090/S0002-9947-05-03670-6. [PDF]
Biktasheva IV, Simitev RD, Suckley R, Biktashev VN. (2006) Asymptotic properties of mathematical models of excitability, Philos Trans A Math Phys Eng Sci, volume 364, no. 1842, pages 1283-1298, DOI:10.1098/rsta.2006.1770. [PDF]
Blyuss KB, Blyuss K, Ashwin P, Wright CD, Bassom A, Bassom AP. (2006) Front propagation in a phase field model with phase-dependent heat absorption, PHYSICA D-NONLINEAR PHENOMENA, volume 215, no. 2, pages 127-136, DOI:10.1016/j.physd.2006.01.024. [PDF]
Dias APS, Rodrigues A. (2006) Secondary bifurcations in systems with all-to-all coupling. Part II, Dynamical Systems, volume 21, no. 4, pages 439-463, DOI:10.1080/14689360600759689.
Díaz-Ordaz K, Holland MP, Luzzatto S. (2006) Statistical properties of one-dimensional maps with critical points and singularities, Stochastics and Dynamics, volume 6, no. 4, pages 423-458, DOI:10.1142/S0219493706001852.
Holland MP, Luzzatto S. (2006) Stable manifolds under very weak hyperbolicity conditions, Journal of Differential Equations, volume 221, no. 2, pages 444-469, DOI:10.1016/j.jde.2005.07.013.
Idris I, Simitev RD, Biktashev VN. (2006) Using novel simplified models of excitation for analytic description of initiation propagation and blockage of excitation waves, Computers in Cardiology, volume 33, pages 213-216.
Podvigina O, Ashwin P, Hawker D. (2006) Modelling instability of ABC flow using a mode interaction between steady and Hopf bifurcations with rotational symmetries of the cube, PHYSICA D-NONLINEAR PHENOMENA, volume 215, no. 1, pages 62-79, DOI:10.1016/j.physd.2006.01.010. [PDF]
Sieber J. (2006) Dynamics of delayed relay systems, Nonlinearity, volume 19, no. 11, DOI:10.1088/0951-7715/19/11/001.
Simitev RD, Biktashev VN. (2006) Conditions for propagation and block of excitation in an asymptotic model of atrial tissue, Biophys J, volume 90, no. 7, pages 2258-2269, DOI:10.1529/biophysj.105.072637. [PDF]
Zemlin CW, Mukund K, Biktashev VN, Pertsov AM. (2006) Dynamics of bound states of same-chirality spiral waves, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, volume 74, no. 1, DOI:10.1103/PhysRevE.74.016207.
Zemlin CW, Mukund K, Biktashev VN, Pertsov AM. (2006) Dynamics of bound states of same-chirality spiral waves, Phys Rev E Stat Nonlin Soft Matter Phys, volume 74, no. 1 Pt 2, DOI:10.1103/PhysRevE.74.016207. [PDF]

2005

Ashwin P. (2005) Riddled basins and coupled dynamical systems, Chazottes R, Fernandez B (eds), Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems, Springer, 181-207. [PDF]
Ashwin P, Timme M. (2005) Unstable attractors: existence and robustness in networks of oscillators with delayed pulse coupling, NONLINEARITY, volume 18, no. 5, pages 2035-2060, DOI:10.1088/0951-7715/18/5/009. [PDF]
Ashwin P, Dangelmayr G. (2005) Reduced dynamics and symmetric solutions for globally coupled weakly dissipative oscillators, Dynamical Systems, volume 20, no. 3, pages 333-367, DOI:10.1080/14689360500151813. [PDF]
Ashwin P, Borresen J. (2005) Discrete computation using a perturbed heteroclinic network, Physics Letters, Section A: General, Atomic and Solid State Physics, volume 347, no. 4-6, pages 208-214, DOI:10.1016/j.physleta.2005.08.013. [PDF]
Ashwin P, Goetz A. (2005) Invariant curves and explosion of periodic Islands in systems of piecewise rotations, SIAM Journal on Applied Dynamical Systems, volume 4, no. 2, pages 437-458, DOI:10.1137/040605394. [PDF]
Ashwin P, Field M. (2005) Product dynamics for homoclinic attractors, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, volume 461, no. 2053, pages 155-177, DOI:10.1098/rspa.2004.1362. [PDF]
Ashwin P, Timme M. (2005) Nonlinear dynamics: when instability makes sense, Nature, volume 436, no. 7047, pages 36-37, DOI:10.1038/436036b. [PDF]
Aslanidi OV, Biktashev VN, Biktasheva IV, Clayton RH, Holden AV. (2005) 21 Towards understanding the physical basis of re-entrant cardiac arrhythmias, Studies in Multidisciplinarity, volume 3, no. C, pages 389-410, DOI:10.1016/S1571-0831(06)80025-0.
Biktashev VN, Biktasheva IV. (2005) Dissipation of excitation fronts as a mechanism of conduction block in Re-entrant waves, Lecture Notes in Computer Science, volume 3504, pages 283-292, DOI:10.1007/11494621_29.
Biktashev VN, Tsyganov MA. (2005) Solitary waves in excitable systems with cross-diffusion, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, volume 461, no. 2064, pages 3711-3730, DOI:10.1098/rspa.2005.1529.
Biktashev VN, Tsyganov MA. (2005) Solitary waves in excitable systems with cross-diffusion, PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, volume 461, no. 2064, pages 3711-3730, DOI:10.1098/rspa.2005.1529. [PDF]
Biktashev VN. (2005) Causodynamics of autowave patterns, Phys Rev Lett, volume 95, no. 8, DOI:10.1103/PhysRevLett.95.084501. [PDF]
Biktasheva IV, Biktashev VN, Holden AV. (2005) Wavebreaks and self-termination of spiral waves in a model of human atrial tissue, Lecture Notes in Computer Science, volume 3504, pages 293-303, DOI:10.1007/11494621_30.
Blyuss KB, Ashwin P, Bassom AP, Wright CD. (2005) Master-equation approach to the study of phase-change processes in data storage media, PHYSICAL REVIEW E, volume 72, no. 1, article no. ARTN 011607, DOI:10.1103/PhysRevE.72.011607. [PDF]
Brindley J, Biktashev VH, Tsyganov MA. (2005) Invasion waves in populations with excitable dynamics, Biological Invasions, volume 7, no. 5, pages 807-816, DOI:10.1007/s10530-005-5207-9.
Bruin, Holland MP, Melbourne. (2005) Subexponential decay of correlations for compact group extensions of non-uniformly expanding systems, Ergodic Theory and Dynamical Systems, volume 25, no. 6, pages 1719-1738.
Bruin H, Holland MP, Nicol M. (2005) Livsic regularity for Markov systems, Ergodic Theory and Dynamical Systems, volume 25, no. 6, pages 1739-1765, DOI:10.1017/S0143385705000179.
Hawker D, Ashwin P. (2005) Classification of robust heteroclinic cycles for vector fields in ℝandlt;supandgt;3andlt;/supandgt; with symmetry, Journal of Physics A: Mathematical and General, volume 38, no. 39, pages 8319-8335, DOI:10.1088/0305-4470/38/39/002. [PDF]
Hawker D, Ashwin P. (2005) Robust bursting to the origin; heteroclinic cycles with maximal symmetry equilibria, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 15, no. 9, pages 2819-2832, DOI:10.1142/S0218127405013708. [PDF]
Holland M. (2005) Slowly mixing systems and intermittency maps, ERGODIC THEORY AND DYNAMICAL SYSTEMS, volume 25, pages 133-159, DOI:10.1017/S0143385704000343. [PDF]
Holland M, Luzzatto S. (2005) A new proof of the stable manifold theorem for hyperbolic fixed points on surfaces, Journal of Difference Equations and Applications, volume 11, no. 6, pages 535-551, DOI:10.1080/10236190500127554.
Misiurewicz M, Rodrigues A. (2005) Real 3x+1, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, volume 133, no. 4, pages 1109-1118, DOI:10.1090/S0002-9939-04-07696-8. [PDF]
Sieber J, Krauskopf B. (2005) Dynamics of an inverted pendulum subject to delayed control, EQUADIFF 2003: INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS, pages 768-773, DOI:10.1142/9789812702067_0128. [PDF]
Sieber J, Krauskopf B. (2005) Extending the permissible control loop latency for the controlled inverted pendulum, Dynamical Systems, volume 20, no. 2, pages 189-199, DOI:10.1080/14689360512331335700.
Wallace MI, Sieber J, Neild SA, Wagg DJ, Krauskopf B. (2005) Stability analysis of real-time dynamic substructuring using delay differential equation models, Earthquake Engineering and Structural Dynamics, volume 34, no. 15, pages 1817-1832, DOI:10.1002/eqe.513.

2004

Ashwin P, Borresen J. (2004) Encoding via conjugate symmetries of slow oscillations for globally coupled oscillators, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, volume 70, no. 2 2, DOI:10.1103/PhysRevE.70.026203. [PDF]
Ashwin P, Rucklidge AM, Sturman R. (2004) Two-state intermittency near a symmetric interaction of saddle-node and Hopf bifurcations: A case study from dynamo theory, Physica D: Nonlinear Phenomena, volume 194, no. 1-2, pages 30-48, DOI:10.1016/j.physd.2004.02.002. [PDF]
Ashwin P, Rucklidge AM, Sturman R. (2004) Cycling chaotic attractors in two models for dynamics with invariant subspaces, Chaos, volume 14, no. 3, pages 571-582, DOI:10.1063/1.1769111. [PDF]
Bauer S, Brox O, Kreissl J, Sartorius B, Radziunas M, Sieber J, Wunsche HJ, Henneberger F. (2004) Nonlinear dynamics of semiconductor lasers with active optical feedback, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, volume 69, no. 1 2, pages 162061-1620610.
Bhansali RJ, Holland MP, Kokoszka PS. (2004) Chaotic maps with slowly decaying correlations and intermittency, ASYMPTOTIC METHODS IN STOCHASTICS, volume 44, pages 99-126. [PDF]
Biktashev VN, Suckley R. (2004) Non-Tikhonov asymptotic properties of cardiac excitability, Phys Rev Lett, volume 93, no. 16, DOI:10.1103/PhysRevLett.93.168103. [PDF]
Biktashev VN, Brindley J, Holden AV, Tsyganov MA. (2004) Pursuit-evasion predator-prey waves in two spatial dimensions, Chaos, volume 14, no. 4, pages 988-994, DOI:10.1063/1.1793751. [PDF]
Biktashev VN, Brindley J. (2004) Phytoplankton blooms and fish recruitment rate: effects of spatial distribution, Bull Math Biol, volume 66, no. 2, pages 233-259, DOI:10.1016/j.bulm.2003.08.008. [PDF]
Sieber J, Krauskopf B. (2004) Bifurcation analysis of an inverted pendulum with delayed feedback control near a triple-zero eigenvalue singularity, Nonlinearity, volume 17, no. 1, pages 85-103, DOI:10.1088/0951-7715/17/1/006.
Sieber J, Krauskopf B. (2004) Complex balancing motions of an inverted pendulum subject to delayed feedback control, Physica D: Nonlinear Phenomena, volume 197, no. 3-4, pages 332-345, DOI:10.1016/j.physd.2004.07.007.
Sieber J, Radžiunas M, Schneider KR. (2004) Dynamics of multisection semiconductor lasers, Mathematical Modelling and Analysis, volume 9, no. 1, pages 51-66, DOI:10.1080/13926292.2004.9637241.
Sturman R, Ashwin P. (2004) Internal dynamics of intermittency, "Dynamics and Bifurcation of Patterns in Dissipative Systems, World Scientific Series on Nonlinear Science 12, World Scientific, Singapore".
Tsyganov MA, Biktashev VN. (2004) Half-soliton interaction of population taxis waves in predator-prey systems with pursuit and evasion, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, volume 70, no. 3, DOI:10.1103/PhysRevE.70.031901.
Tsyganov MA, Brindley J, Holden AV, Biktashev VN. (2004) Soliton-like phenomena in one-dimensional cross-diffusion systems: A predator-prey pursuit and evasion example, Physica D: Nonlinear Phenomena, volume 197, no. 1-2, pages 18-33, DOI:10.1016/j.physd.2004.06.004. [PDF]
Tsyganov MA, Biktashev VN. (2004) Half-soliton interaction of population taxis waves in predator-prey systems with pursuit and evasion, Phys Rev E Stat Nonlin Soft Matter Phys, volume 70, no. 3 Pt 1, DOI:10.1103/PhysRevE.70.031901. [PDF]

2003

Ashwin P, Rucklidge AM, Sturman R. (2003) Cycling attractors of coupled cell systems and dynamics with symmetry, SYNCHRONIZATION: THEORY AND APPLICATION, volume 109, pages 5-23. [PDF]
Ashwin P. (2003) Patchwork patterns: Dynamics on unbounded domains, Bifurcation, Symmetry and Patterns, Porto, Trends in Mathematics, no. Trennds in Mathematics, pages 67-74. [PDF]
Ashwin P, Ochs G. (2003) Convergence to local random attractors, Dynamical Systems, volume 18, no. 2, pages 139-158, DOI:10.1080/1468936031000102727. [PDF]
Ashwin P, Sturman R. (2003) Decelerating defects and non-ergodic critical behaviour in a unidirectionally coupled map lattice, Physics Letters, Section A: General, Atomic and Solid State Physics, volume 309, no. 5-6, pages 423-434, DOI:10.1016/S0375-9601(03)00245-7. [PDF]
Ashwin P, Fu XC, Deane J. (2003) Properties of the invariant disk packing in a model bandpass sigma-delta modulator, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 13, no. 3, pages 631-641, DOI:10.1142/S0218127403006753. [PDF]
Ashwin P, Podvigina O. (2003) Hopf bifurcation with cubic symmetry and instability of ABC flow, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, volume 459, no. 2035, pages 1801-1827, DOI:10.1098/rspa.2002.1090. [PDF]
Ashwin P. (2003) Nonlinear dynamics: Synchronization from chaos, Nature, volume 422, no. 6930, pages 384-385, DOI:10.1038/422384a. [PDF]
Ashwin P, Field M, Rucklidge AM, Sturman R. (2003) Phase resetting effects for robust cycles between chaotic sets, Chaos, volume 13, no. 3, pages 973-981, DOI:10.1063/1.1586531. [PDF]
Biktashev VN, Brindley J, Horwood JW. (2003) Phytoplankton blooms and fish recruitment rate, Journal of Plankton Research, volume 25, no. 1, pages 21-33, DOI:10.1093/plankt/25.1.21.
Biktashev VN. (2003) A simplified model of propagation and dissipation of excitation fronts, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 13, no. 12, pages 3605-3619, DOI:10.1142/S0218127403008958.
Biktasheva IV, Biktashev VN. (2003) Wave-particle dualism of spiral waves dynamics, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, volume 67, no. 2 2, pages 262211-262219.
Biktasheva IV, Biktashev VN, Dawes WN, Holden AV, Saumarez RC, Savill AM. (2003) Dissipation of the excitation front as a mechanism of self-terminating arrhythmias, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 13, no. 12, pages 3645-3655, DOI:10.1142/S0218127403008909.
Biktasheva IV, Biktashev VN. (2003) Wave-particle dualism of spiral waves dynamics, Phys Rev E Stat Nonlin Soft Matter Phys, volume 67, no. 2 Pt 2, DOI:10.1103/PhysRevE.67.026221. [PDF]
Brox O, Bauer S, Radziunas M, Wolfrum M, Sieber J, Kreissl J, Sartorius B, Wunsche HJ. (2003) High-Frequency Pulsations in DFB Lasers with Amplified Feedback, IEEE Journal of Quantum Electronics, volume 39, no. 11, pages 1381-1387, DOI:10.1109/JQE.2003.818313.
Fu XC, Ashwin P. (2003) Symbolic analysis for some planar piecewise linear maps, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, volume 9, no. 6, pages 1533-1548, DOI:10.3934/dcds.2003.9.1533. [PDF]
Krauskopf B, Schneider K, Sieber J, Wieczorek S, Wolfrum M. (2003) Excitability and self-pulsations near homoclinic bifurcations in semiconductor laser systems, Optics Communications, volume 215, no. 4-6, pages 367-379, DOI:10.1016/S0030-4018(02)02239-3.
Suckley R, Biktashev VN. (2003) Comparison of asymptotics of heart and nerve excitability, Physical review. E, Statistical, nonlinear, and soft matter physics, volume 68, no. 1.
Suckley R, Biktashev VN. (2003) Comparison of asymptotics of heart and nerve excitability, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, volume 68, no. 1 1, pages 119021-1190215.
Suckley R, Biktashev VN. (2003) The asymtotic structure of the Hodgkin-Huxley equations, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 13, no. 12, pages 3805-3825, DOI:10.1142/S0218127403008764.
Suckley R, Biktashev VN. (2003) Comparison of asymptotics of heart and nerve excitability, Phys Rev E Stat Nonlin Soft Matter Phys, volume 68, no. 1 Pt 1, DOI:10.1103/PhysRevE.68.011902. [PDF]
Tsyganov MA, Brindley J, Holden AV, Biktashev VN. (2003) Quasisoliton interaction of pursuit-evasion waves in a predator-prey system, Phys Rev Lett, volume 91, no. 21, DOI:10.1103/PhysRevLett.91.218102. [PDF]

2002

Ashwin P, Fu XC. (2002) On the dynamics of some nonhyperbolic area-preserving piecewise linear maps, MATHEMATICS IN SIGNAL PROCESSING V, no. 71, pages 137-145. [PDF]
Ashwin P, Montaldi J. (2002) Group theoretic conditions for existence of robust relative homoclinic trajectories, MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, volume 133, pages 125-141, DOI:10.1017/S0305004101005801. [PDF]
Ashwin P, Fu XC, Terry JR. (2002) Riddling and invariance for discontinuous maps preserving Lebesgue measure, Nonlinearity, volume 15, no. 3, pages 633-645, DOI:10.1088/0951-7715/15/3/306. [PDF]
Ashwin P, Bartuccelli MV, Bridges TJ, Gourley SA. (2002) Travelling fronts for the KPP equation with spatio-temporal delay, Zeitschrift fur Angewandte Mathematik und Physik, volume 53, no. 1, pages 103-122, DOI:10.1007/s00033-002-8145-8.
Ashwin P, Nicol M, Kirkby N. (2002) Acceleration of one-dimensional mixing by discontinuous mappings, Physica A: Statistical Mechanics and its Applications, volume 310, no. 3-4, pages 347-363, DOI:10.1016/S0378-4371(02)00774-4. [PDF]
Ashwin P, Fu XC. (2002) On the geometry of orientation-preserving planar piecewise isometries, JOURNAL OF NONLINEAR SCIENCE, volume 12, no. 3, pages 207-240, DOI:10.1007/s00332-002-0477-1. [PDF]
Ashwin P, Rucklidge AM, Sturman R. (2002) Infinities of stable periodic orbits in systems of coupled oscillators, Phys Rev E Stat Nonlin Soft Matter Phys, volume 66, no. 3 Pt 2A, DOI:10.1103/PhysRevE.66.035201. [PDF]
Aslanidi OV, Bailey A, Biktashev VN, Clayton RH, Holden AV. (2002) Enhanced self-termination of re-entrant arrhythmias as a pharmacological strategy for antiarrhythmic action, Chaos, volume 12, no. 3, pages 843-851, DOI:10.1063/1.1500496. [PDF]
Bauer S, Brox O, Sieber J, Wolfrum M. (2002) Novel concept for a tunable optical microwave source, Conference on Optical Fiber Communication, Technical Digest Series, volume 70, pages 478-479.
Biktashev VN, Holden AV, Mironov SF, Pertsov AM, Zaitsev AV. (2002) Three-dimensional organisation of re-entrant propagation during experimental ventricular fibrillation, Chaos, Solitons and Fractals, volume 13, no. 8, pages 1713-1733, DOI:10.1016/S0960-0779(01)00164-3.
Biktashev VN. (2002) Dissipation of the excitation wave fronts, Phys Rev Lett, volume 89, no. 16, DOI:10.1103/PhysRevLett.89.168102. [PDF]
Elkin YE, Biktashev VN, Holden AV. (2002) Waves of constant shape and the structure of the rotors boundary in excitable media, Chaos, Solitons and Fractals, volume 14, no. 3, pages 385-395, DOI:10.1016/S0960-0779(01)00129-1.
Fu X-C, Lu W, Ashwin P, Duan J. (2002) Symbolic representation of iterated maps, Topological Methods in Nonlinear Analysis, volume 18, pages 119-147. [PDF]
Holden AV, Biktashev VN. (2002) Computational biology of propagation in excitable media models of cardiac tissue, Chaos, Solitons and Fractals, volume 13, no. 8, pages 1643-1658, DOI:10.1016/S0960-0779(01)00172-2.
Sieber J. (2002) Numerical Bifurcation Analysis for Multisection Semiconductor Lasers, SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, volume 1, no. 2, pages 248-270, article no. PII S1111111102401746, DOI:10.1137/S1111111102401746. [PDF]

2001

Ashwin P, Deane JHB, Fu XC. (2001) Dynamics of a bandpass sigma-delta modulator as a piecewise isometry, ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings, volume 3, pages 811-814, DOI:10.1109/ISCAS.2001.921456.
Ashwin P, Fu XC. (2001) Tangencies in invariant disc packings for certain planar piecewise isometries are rare, Dynamical Systems, volume 16, no. 4, pages 333-345, DOI:10.1080/14689360110073650. [PDF]
Ashwin P, Breakspear M. (2001) Anisotropic properties of riddled basins, Physics Letters, Section A: General, Atomic and Solid State Physics, volume 280, no. 3, pages 139-145, DOI:10.1016/S0375-9601(01)00043-3. [PDF]
Ashwin P, Melbourne I, Nicol M. (2001) Hypermeander of spirals: Local bifurcations and statistical properties, Physica D: Nonlinear Phenomena, volume 156, no. 3-4, pages 364-382, DOI:10.1016/S0167-2789(01)00296-2. [PDF]
Ashwin P, Covas E, Tavakol R. (2001) Influence of noise on scalings for in-out intermittency, Phys Rev E Stat Nonlin Soft Matter Phys, volume 64, no. 6 Pt 2, DOI:10.1103/PhysRevE.64.066204. [PDF]
Aslanidi OV, Biktashev VN, Clayton RH, Holden AV. (2001) Differential meander of re-entrant spiral waves in mammalian virtual ventricular tissue, JOURNAL OF PHYSIOLOGY-LONDON, volume 536, pages 71P-71P. [PDF]
Bandelow U, Radziunas M, Sieber J, Wolfrum M. (2001) Impact of gain dispersion on the spatio-temporal dynamics of multisection lasers, IEEE JOURNAL OF QUANTUM ELECTRONICS, volume 37, no. 2, pages 183-188, DOI:10.1109/3.903067. [PDF]
Biktashev VN, Holden AV, Mironov SF, Pertsov AM, Zaitsev AV. (2001) On two mechanisms of the domain structure of ventricular fibrillation, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 11, no. 4, pages 1035-1051, DOI:10.1142/S0218127401002596.
Biktashev VN, Holden AV. (2001) Characterization of patterned irregularity in locally interacting, spatially extended systems: Ventricular fibrillation, Chaos, volume 11, no. 3, pages 653-664, DOI:10.1063/1.1380429. [PDF]
Biktasheva IV, Biktashev VN. (2001) Response functions of spiral wave solutions of the complex Ginzburg-Landau equation, JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, volume 8, pages 28-34, DOI:10.2991/jnmp.2001.8.Supplement.6. [PDF]
Biktasheva IV, Biktashev VN. (2001) Response functions of spiral wave solutions of the complex Ginzburg-Landau equation, Journal of Nonlinear Mathematical Physics, volume 8, no. SUPPL, pages 28-34, DOI:10.2991/jnmp.2001.8.s.6.
Clayton RH, Bailey A, Biktashev VN, Holden AV. (2001) Re-entrant cardiac arrhythmias in computational models of long QT myocardium, J Theor Biol, volume 208, no. 2, pages 215-225, DOI:10.1006/jtbi.2000.2212. [PDF]
Covas E, Tavakol R, Ashwin P, Tworkowski A, Brooke JM. (2001) In-out intermittency in partial differential equation and ordinary differential equation models, Chaos, volume 11, no. 2, pages 404-409, DOI:10.1063/1.1374243. [PDF]
Nicol M, Melbourne I, Ashwin P. (2001) Euclidean extensions of dynamical systems, NONLINEARITY, volume 14, no. 2, pages 275-300, DOI:10.1088/0951-7715/14/2/306. [PDF]
Tsyganov MA, Aslanidi GV, Shakhbazyan VY, Biktashev VN, Ivanitskij GR. (2001) Non-stationary dynamics of bacterial population waves, Doklady Akademii Nauk, volume 380, no. 6, pages 828-834.
Tsyganov MA, Aslanidi GV, Shakhbazian V, Biktashev VN, Ivanitsky GR. (2001) Nonstationary dynamics of bacterial population waves, Dokl Biochem Biophys, volume 380, pages 364-369, DOI:10.1023/a:1012360713823. [PDF]

2000

Ashwin P, Dangelmayr G. (2000) Isochronicity-induced bifurcations in systems of weakly dissipative coupled oscillators, Dynamical Systems, volume 15, no. 3, pages 263-286, DOI:10.1080/713603745.
Ashwin P, Fu XC, Nishikawa T, Zyczkowski K. (2000) Invariant sets for discontinuous parabolic area-preserving torus maps, NONLINEARITY, volume 13, no. 3, pages 819-835, DOI:10.1088/0951-7715/13/3/317. [PDF]
Ashwin P, Terry JR. (2000) On riddling and weak attractors, Physica D: Nonlinear Phenomena, volume 142, no. 1-2, pages 87-100, DOI:10.1016/S0167-2789(00)00062-2. [PDF]
Biktashev VN, Holden AV. (2000) Characterisation of patterned irregularity in locally interacting, spatially extended systems: Ventricular fibrillation, UNSOLVED PROBLEMS OF NOISE AND FLUCTUATIONS, volume 511, pages 263-272. [PDF]
Biktasheva IV. (2000) Drift of spiral waves in the complex Ginzburg-Landau equation due to media inhomogeneities, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, volume 62, no. 6 B, pages 8800-8803, DOI:10.1103/PhysRevE.62.8800.
Terry JR, Ashwin P. (2000) Comment on Riddling of chaotic sets in periodic windows, Phys Rev Lett, volume 85, no. 2, DOI:10.1103/PhysRevLett.85.472. [PDF]
Tronciu VZ, Wunsche HJ, Sieber J, Schneider K, Henneberger F. (2000) Dynamics of single mode semiconductor lasers with passive dispersive reflectors, Optics Communications, volume 182, no. 1-3, pages 221-228, DOI:10.1016/S0030-4018(00)00821-X.

1999

Ashwin P, Field M. (1999) Heteroclinic networks in coupled cell systems, Archive for Rational Mechanics and Analysis, volume 148, no. 2, pages 107-143, DOI:10.1007/s002050050158.
Ashwin P, Melbourne I, Nicol M. (1999) Drift bifurcations of relative equilibria and transitions of spiral waves, Nonlinearity, volume 12, no. 4, pages 741-755, DOI:10.1088/0951-7715/12/4/301.
Ashwin P, Covas E, Tavakol R. (1999) Transverse instability for non-normal parameters, NONLINEARITY, volume 12, no. 3, pages 563-577, DOI:10.1088/0951-7715/12/3/009. [PDF]
Ashwin P. (1999) Attractors of a randomly forced electronic oscillator, Physica D: Nonlinear Phenomena, volume 125, no. 3-4, pages 302-310, DOI:10.1016/S0167-2789(98)00259-0. [PDF]
Ashwin P. (1999) Minimal attractors and bifurcations of random dynamical systems, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, volume 455, no. 1987, pages 2615-2634, DOI:10.1098/rspa.1999.0419. [PDF]
Biktashev VN, Biktasheva IV, Holden AV, Tsyganov MA, Brindley J, Hill NA. (1999) Effects of Shear Flows on Nonlinear Waves in Excitable Media, Journal of Biological Physics, volume 25, no. 2-3, pages 101-113, DOI:10.1023/a:1005160932148.
Biktashev VN, Holden AV, Mironov SF, Pertsov AM, Zaitsev AV. (1999) Three-dimensional aspects of re-entry in experimental and numerical models of ventricular fibrillation, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 9, no. 4, pages 695-704, DOI:10.1142/S0218127499000481.
Biktashev VN, Biktasheva IV, Holden AV, Tsyganov MA, Brindley J, Hill NA. (1999) Spatiotemporal irregularity in an excitable medium with shear flow, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, volume 60, no. 2, pages 1897-1900, DOI:10.1103/PhysRevE.60.1897.
Biktashev VN, Holden AV. (1999) Reentrant arrhythmias and their control in models of mammalian cardiac tissue, J Electrocardiol, volume 32 Suppl, pages 76-83. [PDF]
Biktashev VN, Biktasheva IV, Holden AV, Tsyganov MA, Brindley J, Hill NA. (1999) Spatiotemporal irregularity in an excitable medium with shear flow, Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics, volume 60, no. 2 Pt B, pages 1897-1900, DOI:10.1103/physreve.60.1897. [PDF]
Biktasheva IV, Elkin YE, Biktashev VN. (1999) Resonant Drift of Spiral Waves in the Complex Ginzburg-Landau Equation, Journal of Biological Physics, volume 25, no. 2-3, pages 115-127, DOI:10.1023/a:1005134901624.
Clayton RH, Yu DJ, Small M, Biktashev VN, Harrison RG, Holden AV. (1999) Linear and nonlinear characteristics of ECG signals produced by simulations of ventricular tachyarrhythmias, Computers in Cardiology, pages 479-482.
Clayton RH, Bailey A, Biktashev VN, Holden AV. (1999) Re-entrant arrhythmias in simulations of the long-QT syndrome, Computers in Cardiology, pages 121-124.
Deane JHB, Ashwin P, Hamill DC, Jefferies DJ. (1999) Calculation of the periodic spectral components in a chaotic DC-DC converter, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, volume 46, no. 11, pages 1313-1319, DOI:10.1109/81.802818.
Elkin YE, Biktashev VN. (1999) Drift of large-core spiral waves in inhomogeneous excitable media, Journal of Biological Physics, volume 25, no. 2-3, pages 129-147, DOI:10.1023/a:1005187225866.
Nikolaev EV, Biktashev VN, Holden AV. (1999) On bifurcations of spiral waves in the plane, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 9, no. 8, pages 1501-1516, DOI:10.1142/S021812749900105X.
Terry JR, Thornburg KS, DeShazer DJ, VanWiggeren GD, Zhu S, Ashwin P, Roy R. (1999) Synchronization of chaos in an array of three lasers, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, volume 59, no. 4, pages 4036-4043, DOI:10.1103/PhysRevE.59.4036. [PDF]

1998

Ashwin P, Aston PJ. (1998) Blowout bifurcations of codimension two, Physics Letters, Section A: General, Atomic and Solid State Physics, volume 244, no. 4, pages 261-270, DOI:10.1016/S0375-9601(98)00334-X.
Ashwin P. (1998) Boundary of Two Frequency Behaviour in a System of Three Weakly Coupled Electronic Oscillators, Chaos, Solitons and Fractals, volume 9, no. 8, pages 1279-1287, DOI:10.1016/S0960-0779(98)80001-5.
Ashwin P, Chossat P. (1998) Attractors for Robust Heteroclinic Cycles with Continua of Connections, Journal of Nonlinear Science, volume 8, no. 2, pages 103-129, DOI:10.1007/s003329900045.
Ashwin P, Aston PJ, Nicol M. (1998) On the unfolding of a blowout bifurcation, Physica D: Nonlinear Phenomena, volume 111, no. 1-4, pages 81-95, DOI:10.1016/S0167-2789(97)80006-1. [PDF]
Ashwin P, Terry JR, Thornburg KS, Roy R. (1998) Blowout bifurcation in a system of coupled chaotic lasers, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, volume 58, no. 6, pages 7186-7189, DOI:10.1103/PhysRevE.58.7186. [PDF]
Ashwin P, Mei Z. (1998) A Numerical bifurcation function for homoclinic orbits, SIAM Journal on Numerical Analysis, volume 35, no. 5, pages 2055-2069, DOI:10.1137/S0036142996298168.
Ashwin P. (1998) Non-linear dynamics, loss of synchronization and symmetry breaking, Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, volume 212, no. 3, pages 183-187, DOI:10.1243/0954410981532252.
Ashwin P, Rucklidge AM. (1998) Cycling chaos: its creation, persistence and loss of stability in a model of nonlinear magnetoconvection, PHYSICA D, volume 122, no. 1-4, pages 134-154, DOI:10.1016/S0167-2789(98)00174-2. [PDF]
Biktashev VN, Holden AV. (1998) Functionally defined re-entry in a two-dimensional model of ventricular tissue simulating long QT syndrome, JOURNAL OF PHYSIOLOGY-LONDON, volume 509P, pages 139P-140P. [PDF]
Biktashev VN, Holden AV, Mironov SF, Pertsov AM, Zaitsev AV. (1998) Three-dimensional aspects of re-entry in two models of ventricular fibrillation, JOURNAL OF PHYSIOLOGY-LONDON, volume 509P, pages 139P-139P. [PDF]
Biktashev VN, Holden AV, Tsyganov MA, Brindley J, Hill NA. (1998) Excitation Wave Breaking in Excitable Media with Linear Shear Flow, Physical Review Letters, volume 81, no. 13, pages 2815-2818, DOI:10.1103/PhysRevLett.81.2815.
Biktashev VN. (1998) A three-dimensional autowave turbulence, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 8, no. 4, pages 677-684, DOI:10.1142/S0218127498000474.
Biktashev VN, Holden AV. (1998) Deterministic Brownian motion in the hypermeander of spiral waves, Physica D: Nonlinear Phenomena, volume 116, no. 3-4, pages 342-354, DOI:10.1016/S0167-2789(97)00304-7.
Biktashev VN, Holden AV. (1998) Reentrant waves and their elimination in a model of mammalian ventricular tissue, Chaos, volume 8, no. 1, pages 48-56, DOI:10.1063/1.166307. [PDF]
Biktasheva IV, Elkin YE, Biktashev VN. (1998) Localized sensitivity of spiral waves in the complex Ginzburg-Landau equation, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, volume 57, no. 3, pages 2656-2659, DOI:10.1103/PhysRevE.57.2656.
Elkin YE, Biktashev VN, Holden AV. (1998) On the movement of excitation wave breaks, Chaos, Solitons and Fractals, volume 9, no. 9, pages 1597-1610, DOI:10.1016/S0960-0779(97)00111-2.
Nikolaev EV, Biktashev VN, Holden AV. (1998) On feedback resonant drift and interaction with the boundaries in circular and annular excitable media, Chaos, Solitons and Fractals, volume 9, no. 3, pages 363-376, DOI:10.1016/S0960-0779(97)00074-X.

1997

Ashwin P, King GP. (1997) A study of particle paths in non-axisymmetric Taylor-Couette flows, Journal of Fluid Mechanics, volume 338, pages 341-362, DOI:10.1017/S0022112097004990.
Ashwin P, Chambers W, Petkov G. (1997) Lossless digital filter overflow oscillations; approximation of invariant fractals, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 7, no. 11, pages 2603-2610, DOI:10.1142/S021812749700176X.
Ashwin P, Nicol M. (1997) Detection of symmetry of attractors from observations I. Theory, Physica D: Nonlinear Phenomena, volume 100, no. 1-2, pages 58-70, DOI:10.1016/S0167-2789(96)00175-3.
Ashwin P, Stone E. (1997) Influence of noise near blowout bifurcation, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, volume 56, no. 2, pages 1635-1641, DOI:10.1103/PhysRevE.56.1635.
Ashwin P, Tomes J. (1997) Detection of symmetry of attractors from observations II. An experiment with Sandlt;infandgt;4andlt;/infandgt; symmetry, Physica D: Nonlinear Phenomena, volume 100, no. 1-2, pages 71-84, DOI:10.1016/S0167-2789(96)00176-5.
Ashwin P, Melbourne I. (1997) Noncompact drift for relative equilibria and relative periodic orbits, Nonlinearity, volume 10, no. 3, pages 595-616, DOI:10.1088/0951-7715/10/3/002.
Ashwin P. (1997) Elliptic behaviour in the sawtooth standard map, Physics Letters, Section A: General, Atomic and Solid State Physics, volume 232, no. 6, pages 409-416, DOI:10.1016/S0375-9601(97)00455-6. [PDF]
Ashwin P. (1997) Cycles homoclinic to chaotic sets; robustness and resonance, Chaos, volume 7, no. 2, pages 207-220, DOI:10.1063/1.166221. [PDF]
Biktashev VN, Holden AV, Zhang H. (1997) A model for the action of external current onto excitable tissue, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 7, no. 2, pages 477-485, DOI:10.1142/S0218127497000364.
Covas E, Ashwin P, Tavakol R. (1997) Non-normal parameter blowout bifurcation: An example in a truncated mean-field dynamo model, PHYSICAL REVIEW E, volume 56, no. 6, pages 6451-6458, DOI:10.1103/PhysRevE.56.6451. [PDF]

1996

Aronson DG, Krupa M, Ashwin P. (1996) Semirotors in the Josephson Junction Equations, Journal of Nonlinear Science, volume 6, no. 1, pages 85-103, DOI:10.1007/BF02433811.
Ashwin P, Buescu J, Stewart I. (1996) From attractor to chaotic saddle: A tale of transverse instability, Nonlinearity, volume 9, no. 3, pages 703-737, DOI:10.1088/0951-7715/9/3/006.
Ashwin P, Bohmer K, Mei Z. (1996) Forced symmetry breaking of homoclinic cycles in a PDE with O(2) symmetry, Journal of Computational and Applied Mathematics, volume 70, no. 2, pages 297-310, DOI:10.1016/0377-0427(95)00212-X.
Biktashev VN, Holden AV, Nikolaev EV. (1996) Spiral wave meander and symmetry of the plane, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 6, no. 12 A/B, pages 2433-2440, DOI:10.1142/s0218127496001582.
Biktashev VN, Holden AV. (1996) Re-entrant activity and its control in a model of mammalian ventricular tissue, Proc Biol Sci, volume 263, no. 1375, pages 1373-1382, DOI:10.1098/rspb.1996.0201. [PDF]

1995

ASHWIN P, CHOSSAT P, STEWART I. (1995) TRANSITIVITY OF ORBITS OF MAPS SYMMETRICAL UNDER COMPACT LIE-GROUPS (VOL 4, PG 621, 1994), CHAOS SOLITONS & FRACTALS, volume 5, no. 1, pages 131-131. [PDF]
ASHWIN P, SWIFT JW. (1995) TORUS DOUBLING IN 4 WEAKLY COUPLED OSCILLATORS, INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, volume 5, no. 1, pages 231-241, DOI:10.1142/S021812749500017X. [PDF]
ASHWIN P, BOHMER K, ZHEN M. (1995) A NUMERICAL LIAPUNOV-SCHMIDT METHOD WITH APPLICATIONS TO HOPF-BIFURCATION ON A SQUARE, MATHEMATICS OF COMPUTATION, volume 64, no. 210, pages 649-&, DOI:10.2307/2153444. [PDF]
Ashwin P, King GP. (1995) Streamline topology in eccentric Taylor vortex flow, Journal of Fluid Mechanics, volume 285, pages 215-247, DOI:10.1017/S0022112095000528.
Ashwin P. (1995) Weak coupling of strongly nonlinear, weakly dissipative identical oscillators, DYNAMICS AND STABILITY OF SYSTEMS, volume 10, no. 3, pages 203-218. [PDF]
Ashwin P, Moroz I, Roberts M. (1995) Bifurcations of stationary, standing and travelling waves in triply diffusive convection, Physica D: Nonlinear Phenomena, volume 81, no. 4, pages 374-397, DOI:10.1016/0167-2789(94)00208-8.
Ashwin P. (1995) Attractors stuck on to invariant subspaces, Physics Letters A, volume 209, no. 5-6, pages 338-344, DOI:10.1016/0375-9601(95)00857-8.
Ashwin P, Meii Z. (1995) Normal form for hopf bifurcation of partial differential equations on the square, Nonlinearity, volume 8, no. 5, pages 715-734, DOI:10.1088/0951-7715/8/5/004.
Ashwin P, Bohmer K, Zhen M. (1995) A numerical liapunov-schmidt method with applications to hopf bifurcation on a square, Mathematics of Computation, volume 64, no. 210, pages 649-670, DOI:10.1090/S0025-5718-1995-1284661-X.
Ashwin P, Mann GW, King GP. (1995) Azimuthally propagating ring vortices in a model for nonaxisymmetric Taylor vortex flow, Phys Rev Lett, volume 75, no. 25, pages 4610-4613, DOI:10.1103/PhysRevLett.75.4610. [PDF]
BIKTASHEV VN, HOLDEN AV. (1995) PROPAGATION IN 2-DIMENSIONAL MODELS OF MAMMALIAN CARDIAC TISSUE, JOURNAL OF PHYSIOLOGY-LONDON, volume 487P, pages P124-P125. [PDF]
Biktashev VN, Holden AV. (1995) Resonant drift of autowave vortices in two dimensions and the effects of boundaries and inhomogeneities, Chaos, Solitons and Fractals, volume 5, no. 3-4, pages 575-622, DOI:10.1016/0960-0779(93)E0044-C.
Biktashev VN, Holden AV. (1995) Control of re-entrant activity in a model of mammalian atrial tissue, Proc Biol Sci, volume 260, no. 1358, pages 211-217, DOI:10.1098/rspb.1995.0082. [PDF]

1994

ASHWIN P, STORK P. (1994) PERMISSIBLE SYMMETRIES OF COUPLED CELL NETWORKS, MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, volume 116, pages 27-36, DOI:10.1017/S0305004100072364. [PDF]
ASHWIN P, DANGELMAYR G, STEWART I, WEGELIN M. (1994) OSCILLATOR NETWORKS WITH THE SYMMETRY OF THE UNIT QUATERNION GROUP, DYNAMICS, BIFURCATION AND SYMMETRY, volume 437, pages 35-48. [PDF]
Aliev RR, Biktashev VN. (1994) Dynamics of the oscillation phase distribution in the BZ reaction, Journal of Physical Chemistry, volume 98, no. 38, pages 9676-9681, DOI:10.1021/j100089a049.
Ashwin P, Chossat P, Stewart I. (1994) Transitivity of orbits of maps symmetric under compact lie groups, Chaos, Solitons and Fractals, volume 4, no. 5, pages 621-634, DOI:10.1016/0960-0779(94)90071-X.
Ashwin P, Melbourne I. (1994) Symmetry groups of attractors, Archive for Rational Mechanics and Analysis, volume 126, no. 1, pages 59-78, DOI:10.1007/BF00375696.
Ashwin P, Swift JW. (1994) Measuring rotation sets of coupled oscillators, Nonlinearity, volume 7, no. 3, pages 925-942, DOI:10.1088/0951-7715/7/3/009.
Ashwin P, Buescu J, Stewart I. (1994) Bubbling of attractors and synchronisation of chaotic oscillators, Physics Letters A, volume 193, no. 2, pages 126-139, DOI:10.1016/0375-9601(94)90947-4.
Ashwin P, Zhen M. (1994) A Hopf bifurcation with Robin boundary conditions, Journal of Dynamics and Differential Equations, volume 6, no. 3, pages 487-505, DOI:10.1007/BF02218859.
BIKTASHEV V, KRINSKY V, HAKEN H. (1994) A WAVE APPROACH TO PATTERN-RECOGNITION (WITH APPLICATION TO OPTICAL CHARACTER-RECOGNITION), INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, volume 4, no. 1, pages 193-207, DOI:10.1142/S0218127494000149. [PDF]
Biktashev VN, Holden AV, Zhang H. (1994) Tension of organizing filaments of scroll waves, Philosophical Transactions - Royal Society of London, A, volume 347, no. 1685, pages 611-630, DOI:10.1098/rsta.1994.0070.
Biktashev VN, Holden AV. (1994) Design principles of a low voltage cardiac defibrillator based on the effect of feedback resonant drift, J Theor Biol, volume 169, no. 2, pages 101-112, DOI:10.1006/jtbi.1994.1132. [PDF]
Kuznetsov YA, Antonovsky MY, Biktashev VN, Aponina EA. (1994) A cross-diffusion model of forest boundary dynamics, Journal of Mathematical Biology, volume 32, no. 3, pages 219-232, DOI:10.1007/BF00163879.

1993

Ashwin P, Guaschi J, Phelps JM. (1993) Rotation sets and phase-locking in an electronic three oscillator system, Physica D: Nonlinear Phenomena, volume 66, no. 3-4, pages 392-411, DOI:10.1016/0167-2789(93)90075-C.
Ashwin P, Swift JW. (1993) Unfolding the torus: Oscillator geometry from time delays, Journal of Nonlinear Science, volume 3, no. 1, pages 459-475, DOI:10.1007/BF02429874.
Biktashev VN, Holden AV. (1993) Resonant drift of an autowave vortex in a bounded medium, Physics Letters A, volume 181, no. 3, pages 216-224, DOI:10.1016/0375-9601(93)90642-D.
Starmer CF, Biktashev VN, Romashko DN, Stepanov MR, Makarova ON, Krinsky VI. (1993) Vulnerability in an excitable medium: analytical and numerical studies of initiating unidirectional propagation, Biophys J, volume 65, no. 5, pages 1775-1787, DOI:10.1016/S0006-3495(93)81233-5. [PDF]

1992

ASHWIN P. (1992) HIGH CORANK STEADY-STATE MODE INTERACTIONS ON A RECTANGLE, BIFURCATION AND SYMMETRY, volume 104, pages 23-33. [PDF]
Ashwin P, Swift JW. (1992) The dynamics of n weakly coupled identical oscillators, Journal of Nonlinear Science, volume 2, no. 1, pages 69-108, DOI:10.1007/BF02429852.
Biktashev VN, Molchanov AM. (1992) A macrodynamical approach to the analysis of neural networks, Proceedings 1992 RNNS/IEEE Symposium on Neuroinformatics and Neurocomputers, RNNS 1992, pages 948-958, DOI:10.1109/RNNS.1992.268535.

1991

KRINSKY V, PERTSOV A, FAST V, BIKTASHEV V. (1991) A STUDY OF THE AUTOWAVE MECHANISMS OF CARDIAC-ARRHYTHMIAS, NONLINEAR WAVE PROCESSES IN EXCITABLE MEDIA, volume 244, pages 5-13. [PDF]
Krinsky VI, Biktashev VN, Efimov IR. (1991) Autowave principles for parallel image processing, Physica D: Nonlinear Phenomena, volume 49, no. 1-2, pages 247-253, DOI:10.1016/0167-2789(91)90213-S.

1990

Ashwin P. (1990) Symmetric chaos in systems of three and four forced oscillators, Nonlinearity, volume 3, no. 3, pages 603-617, DOI:10.1088/0951-7715/3/3/004.
Ashwin P, King GP, Swift JW. (1990) Three identical oscillators with symmetric coupling, Nonlinearity, volume 3, no. 3, pages 585-601, DOI:10.1088/0951-7715/3/3/003.
KRINSKY VI, BIKTASHEV VN, PERTSOV AM. (1990) AUTOWAVE APPROACHES TO CESSATION OF REENTRANT ARRHYTHMIAS, MATHEMATICAL APPROACHES TO CARDIAC ARRHYTHMIAS, volume 591, pages 232-246. [PDF]
Krinsky VI, Biktashev VN, Pertsov AM. (1990) Autowave approaches to cessation of reentrant arrhythmias, Ann N Y Acad Sci, volume 591, pages 232-246, DOI:10.1111/j.1749-6632.1990.tb15092.x. [PDF]
Pertsov AM, Biktashev VN, Yermakova YA, Krinskii VI. (1990) Possibility of considerably reducing the defibrillation current with the right choice of the moment of applying a defibrillating pulse. Mathematical model, Biophysics, volume 35, no. 3, pages 515-519.
Pertsov AM, Biktashev VN, Ermakova EA, Krinsky VI. (1990) On the possibility of lowering considerably defibrillation current by determining the right time for application of a defibrillating pulse. Mathematical model, Biofizika, volume 35, no. 3, pages 500-503.
Pertsov AM, Biktashev VN, Ermakova EA, Krinskiĭ VI. (1990) [A possibility of significant lowering the defibrillation current by determining the right time for application of a defibrillating pulse. A mathematical model], Biofizika, volume 35, no. 3, pages 500-503. [PDF]

1989

Biktashev VN. (1989) Diffusion of autowaves. Evolution equation for slowly varying autowaves, Physica D: Nonlinear Phenomena, volume 40, no. 1, pages 83-90, DOI:10.1016/0167-2789(89)90028-6.
Biktashev VN. (1989) Evolution of twist of an autowave vortex, Physica D: Nonlinear Phenomena, volume 36, no. 1-2, pages 167-172, DOI:10.1016/0167-2789(89)90255-8.

Ahsan Z, Dankowicz H, Sieber J. Optimization along Families of Periodic and Quasiperiodic Orbits in Dynamical Systems with Delay, Nonlinear Dynamics. [PDF]
Aldurayhim A, Biktashev VN. Exact Propagating Wave Solutions in Reaction Cross-Diffusion System, Chaos, Solitons and Fractals X. [PDF]
Antonioletti M, Biktashev VN, Jackson A, Kharche SR, Stary T, Biktasheva IV. BeatBox - HPC Simulation Environment for Biophysically and Anatomically Realistic Cardiac Electrophysiology, PLoS ONE 12(5): e0172292, 2017, DOI:10.1371/journal.pone.0172292. [PDF]
Ashwin P, Postlethwaite CM. Excitable Networks for Finite State Computation with Continuous Time Recurrent Neural Networks. [PDF]
Ashwin P, Goetz A, Peres P, Rodrigues A. Embeddings of interval exchange transformations into planar piecewise isometries. [PDF]
Bezekci B, Biktashev VN. Strength-Duration Relationship in an Excitable Medium. [PDF]
Biktashev VN, Melbourne I. St. Petersburg paradox for quasiperiodically hypermeandering spiral waves. [PDF]
Biktashev VN. A response function framework for the dynamics of meandering or large-core spiral waves and modulated traveling waves, Physical Review E. [PDF]
Biktashev VN, Barkley D, Biktasheva IV. Orbital movement of spiral waves. [PDF]
Biktashev VN, Biktasheva IV. Dynamics of filaments of scroll waves, DOI:10.1142/9789814616133_0013. [PDF]
Biktasheva IV. Role of a Habitat's Air Humidity in Covid-19 Mortality. [PDF]
Biktasheva IV, Holden AV, Biktashev VN. Localization of response functions of spiral waves in the FitzHugh-Nagumo system, DOI:10.1142/S0218127406015490. [PDF]
Biktasheva IV, Dierckx H, Biktashev VN. Drift of scroll waves in thin layers caused by thickness features: asymptotic theory and numerical simulations, Phys. Rev. Lett., 114: 068302, 2015, DOI:10.1103/PhysRevLett.114.068302. [PDF]
Coates D, Holland M, Terhesiu D. Limit theorems for wobbly interval intermittent maps, Studia Mathematica.
Cockram N, Rodrigues A. A survey on the topological entropy of cubic polynomials. [PDF]
Denker M, Rodrigues A. The Combinatorics of Avalanche Dynamics. [PDF]
Dierckx H, Biktasheva IV, Verschelde H, Panfilov AV, Biktashev VN. Filament tension and phase-locked drift of meandering scroll waves, Phys. Rev. Lett, volume 119, DOI:10.1103/PhysRevLett.119.258101. [PDF]
Falkena SKJ, Quinn C, Sieber J, Dijkstra HA. A Delay Equation Model for the Atlantic Multidecadal Oscillation, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
Falkena SKJ, Quinn C, Sieber J, Frank J, Dijkstra HA. Derivation of Delay Equation Climate Models Using the Mori-Zwanzig Formalism, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. [PDF]
Galatolo S, Holland M, Persson T, Zhang Y. Anomalous time-scaling of extreme events in infinite systems and Birkhoff sums of infinite observables, Discrete and Continuous Dynamical Systems Series A. [PDF]
Holland MP. On the convergence to an extreme value distribution for non-uniformly hyperbolic dynamical systems.
Hornung D, Biktashev VN, Otani NF, Shajahan TK, Baig T, Berg S, Han S, Krinsky VI, Luther S. Mechanisms of vortices termination in the cardiac muscle, Royal Society Open Science. [PDF]
Hutchinson JSJW, Thompson JMT. Nonlinear Dynamics of Spherical Shells Buckling under Step Pressure, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. [PDF]
Kharche SR, Biktasheva IV, Seemann G, Seeman G, Zhang H, Biktashev VN. A Computer Simulation Study of Anatomy Induced Drift of Spiral Waves in the Human Atrium, Biomed Research International, article no. 731386. [PDF]
Krauskopf B, Sieber J. Bifurcation Analysis of Systems with Delays: Methods and Their Use in Applications. [PDF]
Marcotte CD, Biktashev VN. Predicting critical ignition in slow-fast excitable models, Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. [PDF]
Newman J, Ashwin P. Re-thinking noise-induced tipping, DOI:10.5194/egusphere-egu21-5918.
Quinn C, Sieber J, Heydt AVD. Effects of periodic forcing on a Paleoclimate delay model, SIAM Journal on Applied Dynamical Systems. [PDF]
Ramlugun GS, Thomas B, Biktashev VN, Fraser DP, LeGrice IJ, Smaill BH, Zhao J, Biktasheva IV. Dynamics of cardiac re-entry in micro-CT and serial histological sections based models of mammalian hearts. [PDF]
Renson L, Sieber J, Barton DAW, Shaw AD, Neild SA. Numerical Continuation in Nonlinear Experiments using Local Gaussian Process Regression, Nonlinear Dynamics. [PDF]
Ritchie P, Karabacak O, Sieber J. Inverse-square law between time and amplitude for crossing tipping thresholds, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, DOI:10.1098/rspa.2018.0504. [PDF]
Sieber J. Longtime behavior of coupled wave equations for semiconductor lasers. [PDF]
Sieber J, Engelborghs K, Luzyanina T, Samaey G, Roose D. DDE-BIFTOOL Manual - Bifurcation analysis of delay differential equations. [PDF]
Sieber J. Generic stabilisability for time-delayed feedback control, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. [PDF]
Simitev RD, Biktashev VN. Analytically Solvable Asymptotic Model of Atrial Excitability, DOI:10.1007/978-0-8176-4556-4_26. [PDF]
Stary T, Biktashev VN. Fast-slow asymptotics for a Markov chain model of fast sodium current, Chaos, 27: 093937, 2017, DOI:10.1063/1.5003013. [PDF]
Wan C, Biktasheva IV, Lane S. The application of a perceptron model to classify an individual's response to a proposed loading dose regimen of Warfarin. [PDF]
Zhang Z, Liu Y, Sieber J. Calculating the Lyapunov exponents of a piecewise-smooth soft impacting system with a time-delayed feedback controller, DOI:10.1016/j.cnsns.2020.105451. [PDF]

Showing 464 publications from Symplectic.