Spiral Wave Solutions of Practical Reaction-Diffusion Systems

DOI10.1137/0139002zbMath0451.35075OpenAlexW2059117148MaRDI QIDQ3897409

Nicholas F. Britton, M. R. Duffy, James D. Murray

Publication date: 1980

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0139002

zbMATH Keywords

bifurcationreaction-diffusion equationsspiral wavesBelousov-Zhabotinskii reactionmultiscale perturbation procedure

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Bifurcations in context of PDEs (35B32)

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Oscillatory reaction-diffusion equations on rings ⋮ Singular perturbation theory of traveling waves in excitable media (A review) ⋮ Rotating waves in scalar equations with Neumann boundary conditions ⋮ Approximated Spiral and Target Patterns in Bazykin’s Prey–Predator Model: Multiscale Perturbation Analysis ⋮ Influence of self- and cross-diffusion on wave train solutions of reaction-diffusion systems ⋮ Calcium wave propagation by calcium-induced calcium release: An unusual excitable system ⋮ Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media ⋮ Solution of lambda-omega systems: Theta-schemes and multigrid methods ⋮ Distributed optimal control of lambda–omega systems ⋮ Target patterns and spiral waves in reaction-diffusion systems with limit cycle kinetics and weak diffusion ⋮ Pulsating and Rotating Spirals in a Delayed Feedback Diffractive Nonlinear Optical System ⋮ Wavefront geometry in excitable media ⋮ Rotating spiral waves in excitable media: the analytical results

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