Chaotic meander of spiral waves in the FitzHugh-Nagumo system

DOI10.1016/0960-0779(93)E0048-GzbMath0925.92028MaRDI QIDQ1266847

Henggui Zhang, Arun V. Holden

Publication date: 4 March 1999

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Mathematics Subject Classification ID

Biophysics (92C05)

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Bifurcation and chaos in discrete FitzHugh-Nagumo system, Chaos and bifurcation in the space-clamped FitzHugh--Nagumo system, Electromagnetic induction and radiation-induced abnormality of wave propagation in excitable media, Spatio-temporal patterns in two-dimensional excitable media subject to Robin boundary conditions, Robustness of spiral waves in two-dimensional reactive-diffusive media., Alternans and higher-order rhythms in an ionic model of a sheet of ischemic ventricular muscle, A primary mechanism for spiral wave meandering, Complex dynamics in a two-dimensional noninvertible map, Convection-induced anisotropy in excitable media subject to solenoidal advective flow fields., DYNAMICS OF SPIRAL WAVE IN THE COUPLED HODGKIN–HUXLEY NEURONS, Spiral wave breakdown in an excitable medium model of cardiac tissue, Cell-to-cell mathematical modeling of arrhythmia phenomena in the heart, Tile patterns in excitable media subject to non-solenoidal flow fields, Analysis of Hopf bifurcation caused by leakage conductance \(g_{l}\) in the Hodgkin-Huxley model in muscles, Wave propagation and suppression in excitable media with holes and external forcing

Cites Work

• Waves and patterns in chemical and biological media. Papers from the International Research Workshop on Waves and Patterns in Biological and Chemical Excitable Media held in Pushchino, May 28--June 1, 1990.
• Identification and prediction of low dimensional dynamics
• Testing for nonlinearity in time series: the method of surrogate data
• Organizing centers in a cellular excitable medium
• Determining Lyapunov exponents from a time series
• Dynamical stability of untwisted scroll rings in excitable media
• Analysis of meandering in Zykov kinetics
• Spiral wave breakdown in an excitable medium model of cardiac tissue
• On the stability of steadily rotating waves in the free boundary formulation
• Simulating cardiac sinus and atrial network dynamics on the Connection Machine
• A Cellular Automaton Model of Excitable Media Including Curvature and Dispersion
• SPATIOTEMPORAL IRREGULARITY IN A TWO-DIMENSIONAL MODEL OF CARDIAC TISSUE
• RE-ENTRANT ROTATING WAVES IN A BEELER–REUTER BASED MODEL OF TWO-DIMENSIONAL CARDIAC ELECTRICAL ACTIVITY
• Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media
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