Wave front interaction in steadily rotating spirals

DOI10.1016/0167-2789(91)90093-OzbMath0716.76063OpenAlexW1980904697MaRDI QIDQ753597

Jiong Sun, Pierre Pelcé

Publication date: 1991

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90093-o

zbMATH Keywords

excitable mediareaction-diffusion equationswave front interaction model

Mathematics Subject Classification ID

Diffusion (76R50)

Related Items (16)

A dynamical systems approach to spiral wave dynamics ⋮ Theory of the spiral core in excitable media ⋮ Complex dynamics of spiral waves and motion of curves ⋮ Kinematics of rigidly rotating spiral waves ⋮ Traveling spots on multi-dimensional excitable media ⋮ Traveling Curved Waves in Two-Dimensional Excitable Media ⋮ Order parameter equations for front transitions: Nonuniformly curved fronts ⋮ Kinematical theory of spiral waves in excitable media: Comparison with numerical simulations ⋮ Spiral wave solutions for reaction-diffusion equations in a fast reaction/slow diffusion limit ⋮ Cookbook asymptotics for spiral and scroll waves in excitable media ⋮ Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media ⋮ Dynamics of pivoting electrical waves in a cardiac tissue model ⋮ Classification of steady solutions of the full kinematic model ⋮ Analytical approximations for spiral waves ⋮ Spiral Waves and Dissipative Solitons in Weakly Excitable Media ⋮ On the stability of steadily rotating waves in the free boundary formulation

Cites Work

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• Singular perturbation theory of traveling waves in excitable media (A review)

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