Cookbook asymptotics for spiral and scroll waves in excitable media

DOI10.1063/1.1494875zbMath1080.35514OpenAlexW2105696522WikidataQ52015574 ScholiaQ52015574MaRDI QIDQ5706316

Dwight Barkley, D. Margerit

Publication date: 7 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1ceaebba77ee715838c07e607a75e6e6ddac0d43

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Developmental biology, pattern formation (92C15)

Related Items (12)

Asymptotic methods for reaction-diffusion systems: past and present ⋮ Kinematics of rigidly rotating spiral waves ⋮ A geometric theory for scroll wave filaments in anisotropic excitable media ⋮ Spiral Waves: Linear and Nonlinear Theory ⋮ Adaptive multiresolution methods for the simulation of waves in excitable media ⋮ A normal form for excitable media ⋮ Emergent reaction-diffusion phenomena in capillary tubes ⋮ Hysteresis phenomenon in the dynamics of spiral waves rotating around a hole ⋮ Bifurcation analysis of a normal form for excitable media: Are stable dynamical alternans on a ring possible? ⋮ Spiral waves on static and moving spherical domains ⋮ Analytical approximations for spiral waves ⋮ Spiral Waves and Dissipative Solitons in Weakly Excitable Media

Cites Work

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• Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media
• Fast Simulations of Waves in Three-Dimensional Excitable Media
• Universal limit of spiral wave propagation in excitable media
• Tension of organizing filaments of scroll waves

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