Publications

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| To Appear | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2002 | 2001 | 2000 | 1999 | 1998 | 1997 | 1996 | 1995 | 1994 | 1993 | 1992 | 1991 | 1990 | 1989 | 1988 | 1987 |

To Appear

  • The Mid-Pleistocene Transition induced by delayed feedback and bistability. [PDF]
  • Probing shells against buckling: a non-destructive technique for laboratory testing. [PDF]
  • Convergence of equation-free methods in the case of finite time scale separation with application to deterministic and stochastic systems. [PDF]
  • DDE-BIFTOOL Manual - Bifurcation analysis of delay differential equations. [PDF]
  • Longtime behavior of coupled wave equations for semiconductor lasers. [PDF]
  • Alkhayoun Hm , Ashwin P . Rate-dependent tipping from periodic attractors: partial tipping and connecting orbits. [PDF]
  • Ashwin P , Rodrigues A . Hopf normal form with $S_N$ symmetry and reduction to systems of nonlinearly coupled phase oscillators, DOI:10.1016/j.physd.2016.02.009. [PDF]
  • Bezekci B , Biktashev Vn . Strength-Duration Relationship in an Excitable Medium. [PDF]
  • Bick C , Ashwin P , Ashwin Pp , Rodrigues A . Chaos in generically coupled phase oscillator networks with nonpairwise interactions, Chaos, 26(9), 94814 (2016), DOI:10.1063/1.4958928. [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]
  • Creaser J , Tsaneva-Atanasova , Tsaneva-Atanasova K , Ashwin P . Sequential noise-induced escapes for oscillatory network dynamics. [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]
  • Holland Mp . On the convergence to an extreme value distribution for non-uniformly hyperbolic dynamical systems.
  • Holland Mp . Quantitative recurrence statistics and convergence to an extreme value distribution for non-uniformly hyperbolic dynamical systems. [PDF]
  • Holland Mp , Todd M . 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 . Mechanisms of vortices termination in the cardiac muscle, Royal Society Open Science. [PDF]
  • Kladis Gp , Menon Pp , Menon P , Edwards C . Fuzzy Distributed Cooperative Tracking For A Swarm Of Unmanned aerial Vehicles With Heterogeneous Goals, International Journal of Systems Science. [PDF]
  • Kuijper B , Johnstone Ra . How sex-biased dispersal affects conflict over parental investment, bioRxiv, DOI:10.1101/026732. [PDF]
  • Lin C , Steinberg G , Ashwin P . Bidirectional transport and pulsing states in a multi-lane ASEP model, DOI:10.1088/1742-5468/2011/09/P09027. [PDF]
  • Maier M , Mueller M , Yan X . Introducing a Localised Spatio-temporal LCI Method with wheat production as exploratory case study, Journal of Cleaner Production. [PDF]
  • Menon Pp , Edwards C , Gomes Paulino Nm . Observer-based controller design with disturbance feedforward framework for formation control of satellites, IET Control Theory and Applications, volume 9, no. 8, pages 1285-1293, DOI:10.1049/iet-cta.20144.0773. [PDF]
  • Meysam Ghanavati , Animesh Chakravarthy , Prathyush Pm . Analysis of Automotive Cyber-Attacks on Highways using Partial Differential Equation Models, IEEE Transactions on Control of Network Systems, DOI:10.1109/TCNS.2017.2760865. [PDF]
  • Owen Ne , Challenor P , Menon Pp , Bennani S . Comparison of surrogate-based uncertainty quantification methods for computationally expensive simulators. [PDF]
  • Oza Hb , Pandey R , Roper D , Al-Nuaimi Y , Spurgeon Sk , Goodfellow M . Modelling and finite time stability analysis of psoriasis pathogenesis, International Journal of Control. [PDF]
  • Ritchie P , Karabacak O , Sieber J . Inverse-square law between time and amplitude for crossing tipping thresholds. [PDF]
  • Sieber J . Shock-Sensitivity in Shell-Like Structures: with Simulations of Spherical Shell Buckling, volume 26, no. 2. [PDF]
  • Sieber J . Local bifurcations in differential equations with state-dependent delay, Chaos. [PDF]
  • Sieber J . Generic stabilisability for time-delayed feedback control, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. [PDF]
  • Sieber J , Ritchie Pdl . Probability of noise- and rate-induced tipping, Physical Review E. [PDF]
  • Simitev Rd , Biktashev Vn . Analytically Solvable Asymptotic Model of Atrial Excitability, DOI:10.1007/978-0-8176-4556-4_26. [PDF]
  • Spiga F , Walker Jj , Gupta R , Terry Jr , Lightman Sl . Glucocorticoid dynamics: insights from mathematical, experimental and clinical studies, Journal of Endocrinology, DOI:10.1530/JOE-15-0132. [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]

2018

  • Weinberger O , Ashwin Pb . (2018) FROM COUPLED NETWORKS OF SYSTEMS TO NETWORKS OF STATES IN PHASE SPACE, Discrete and Continuous Dynamical Systems - Series B. [PDF]

2017

2016

2015

2014

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2012

2011

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2007

2006

2005

2004

2003

2002

2001

2000

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.
  • 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 . (1999) Attractors of a randomly forced electronic oscillator, Physica D: Nonlinear Phenomena, volume 125, no. 3-4, pages 302-310. [PDF]
  • 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) 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.
  • 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 , 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. [PDF]
  • 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]
  • 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 115-128.
  • 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.
  • Ilchmann A , Townley S . (1999) Adaptive sampling control of high-gain stabilizable systems, IEEE Transactions on Automatic Control, volume 44, no. 10, pages 1961-1966, DOI:10.1109/9.793786.
  • Ilchmann A , Townley S . (1999) Adaptive high-gain λ-tracking with variable sampling rate, Systems and Control Letters, volume 36, no. 4, pages 285-293, DOI:10.1016/S0167-6911(98)00101-7.
  • Logemann H , Ryan Ep , Townley S . (1999) Integral control of linear systems with actuator nonlinearities: Lower bounds for the maximal regulating gain, IEEE Transactions on Automatic Control, volume 44, no. 6, pages 1315-1319, DOI:10.1109/9.769399.
  • 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.
  • Rebarber R , Townley S . (1999) Robustness with respect to delays for exponential stability of distributed parameter systems, SIAM Journal on Control and Optimization, volume 37, no. 1, pages 230-244.
  • Terry Jr . (1999) Detuning and symmetry breaking in a system of coupled chaotic lasers, Journal of Optics B: Quantum and Semiclassical Optics, volume 1, no. 2, pages 245-250, DOI:10.1088/1464-4266/1/2/008.
  • 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]
  • Townley S . (1999) An example of a globally stabilizing adaptive controller with a generically destabilizing parameter estimate, IEEE Transactions on Automatic Control, volume 44, no. 11, pages 2238-2241, DOI:10.1109/9.802953.

1998

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1993

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.
  • Townley S , Ieee . (1992) GENERIC PROPERTIES OF UNIVERSAL ADAPTIVE STABILIZATION SCHEMES, PROCEEDINGS OF THE 31ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, pages 3630-3631. [PDF]

1991

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.
  • Hinrichsen D , Pritchard Aj , Townley Sb . (1990) RICCATI EQUATION APPROACH TO MAXIMIZING THE COMPLEX STABILITY RADIUS BY STATE FEEDBACK, INTERNATIONAL JOURNAL OF CONTROL, volume 52, no. 4, pages 769-794, DOI:10.1080/00207179008953567. [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. [PDF]
  • Pritchard Aj , Townley S . (1990) REAL STABILITY RADII FOR INFINITE DIMENSIONAL SYSTEMS, ROBUST CONTROL OF LINEAR SYSTEMS AND NONLINEAR CONTROL, volume 4, pages 635-646. [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]
  • Ryan Ep , Townley S . (1990) Non-linear systems: Robustness optimization and universal adaptive stabilization, Proceedings of the IEEE Conference on Decision and Control, volume 6, pages 3228-3229.
  • Townley S . (1990) Stability radius optimization: A geometric approach, Systems and Control Letters, volume 14, no. 3, pages 199-207, DOI:10.1016/0167-6911(90)90014-L.

1989

1988

1987

  • Chapman Mj , Pritchard Aj , Townley Sb . (1987) Modelling linear distributed parameter systems, Systems Science, volume 13, no. 3-4, pages 37-50.
  • Pritchard Aj , Townley S . (1987) A STABILITY RADIUS FOR INFINITE DIMENSIONAL SYSTEMS, LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, volume 102, pages 272-291. [PDF]
  • Pritchard Aj , Townley S . (1987) ROBUSTNESS OF INFINITE DIMENSIONAL SYSTEMS, IFAC Proceedings Series, no. 3, pages 459-462.

Showing 834 publications from Symplectic.

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