Nonlinear Wave Processes in Excitable Media

Front Matter....Pages i-xii
Exciting Times in Excitable Media....Pages 1-3
A Study of the Autowave Mechanisms of Cardiac Arrhythmias....Pages 5-13
Dynamics of Spiral Centres in the Ferroin-Catalyzed Belousov-Zhabotinskii Reaction....Pages 15-22
Synergetic Analysis of Spatio-Temporal Eeg Patterns....Pages 23-37
Analysis of Eeg Signals and Their Spatial Correlation Over the Scalp Surface....Pages 39-45
Sustained Reaction-Diffusion Waves and Stationary Structures in an Open Reactor....Pages 47-59
Spatial Pattern Formation in a Catalytic Surface Reaction: the Faceting of Pt(110) in CO + O 2 ....Pages 61-77
Excitable Chemical Reaction Systems....Pages 79-89
Pulse Stimulation of Coupled Chemical Oscillators....Pages 91-97
Periodic Forcing of a Spatially One-Dimensional Excitable Reaction-Diffusion System....Pages 99-105
Travelling Wave Solutions of a Simple Nerve Conduction Equation for Inhomogeneous Axons....Pages 107-114
The Optimal Control of an Excitable Neural Fibre....Pages 115-121
A Numerical Model for Reentry in Weakly Coupled Parallel Excitable Fibres....Pages 123-126
Kinematics of Wave Patterns in Excitable Media....Pages 127-144
The Effect of Wavefront Interactions on Pattern Formation in Excitable Media....Pages 145-153
Model for Spiral Wave Formation in Excitable Media....Pages 155-160
Randomized Automata for Isotropic Modelling of two- and Three-Dimensional Waves And Spatiotemporal Chaos in Excitable Media....Pages 161-182
Chemical Regulation of Excitability in the Belousov-Zhabotinskii Reaction....Pages 183-189
Diffusive Instabilities and Pattern Formation in the Belousov-Zhabotinsky System....Pages 191-200
Three-Dimensional Waves in Excitable Reaction-Diffusion Systems: the Eikonal Approximation....Pages 201-211
The Dynamics of Forced Excitable Systems....Pages 213-231
Pattern Formation on the Shells of Molluscs by Travelling Waves With Unusual Properties....Pages 233-244
Two Dimensional Wave Propagation in a Model of Dictyostelium Discoideum....Pages 245-258
Patterns of Spore Formation in Neurospora Crassa and Their Simulation With a Cellular Automaton....Pages 259-267
A Model for Gliding and Aggregation of Myxobacteria....Pages 269-276
Geometric Parameters of Aggregation Waves in Dictyostelium Discoideum....Pages 277-279
Electrical Rotors in the Heart....Pages 281-294
Nonlinear Dynamics and Ionic Mechanisms of Excitation Patterns in Models of the Cardiac Myocyte....Pages 295-312
A Model of Excitation Wavefronts Spreading in the Anisotropic Cardiac Tissue....Pages 313-326
Hysteresis Phenomena in Transitional Zones Between Various Kinds of Periodic and Quiescent Behaviour in Electrophysiological Mathematical Models of Cardiac Cells....Pages 327-333
Dimensional Analysis of the Ventricular Fibrillation ECG....Pages 335-342
Front Propagation Into Unstable Media: a Computational Tool....Pages 343-350
Spiral Arm Waves in Galaxies....Pages 351-360
Three Dimensional Vortices in Active Media....Pages 361-381
Structure and Dynamics of Spiral Waves and of Defects in Travelling Waves....Pages 383-397
Ignition/Extinction Phenomena as Dissipative Phase Transitions....Pages 399-407
The Effect of Cross Mass (Soret) Transport on the Initiation, Propagation and Stability Properties of a Combustion Wave....Pages 409-421
Excyclon Dynamics....Pages 423-434
Interfacial Instabilities, Waves and Solitons Excited by the Marangoni Effect....Pages 435-449
The Simulation of Chemical Waves in Excitable Reaction-Diffusion-Convection Systems by Finite Difference and Finite Element Methods....Pages 451-467
Spatial Temperature Distribution During the Heterogeneously Catalyzed Oxidation of Ethanol....Pages 469-473
A New Pattern of Spreading Excitations in Cellular Automata: Models for Heterogeneous Catalytic Reactions....Pages 475-487
Propagation of Chemical Waves in Discrete Excitable Media: Anisotropic and Isotropic Wave Fronts....Pages 489-500
Phase Dynamics and Spatial Patterns in Oscillating and Excitable Media....Pages 501-512
Excitable Media as Computational Systems....Pages 513-520
Back Matter....Pages 521-525