Publications

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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

  • 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.

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