Multiple stationary states, sustained oscillations and transient behaviour in autocatalytic reaction-diffusion equations

DOI10.1098/rspa.1988.0088zbMath0692.35054OpenAlexW2075203550MaRDI QIDQ3034170

Stephen K. Scott, Steven R. Kay

Publication date: 1988

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1988.0088

zbMATH Keywords

hysteresistransitionsDirichlet boundary formMultiple stationary states

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Physiological, cellular and medical topics (92Cxx)

Related Items (6)

Mixed quadratic-cubic autocatalytic reaction-diffusion equations: semi-analytical solutions ⋮ Cubic autocatalysis in a reaction-diffusion annulus: semi-analytical solutions ⋮ Exact multiplicity of solutions and \(S\)-shaped bifurcation curve for a class of semilinear elliptic equations ⋮ Steady states and dynamics of an autocatalytic chemical reaction model with decay ⋮ Global bifurcations in a simple, autocatalytic reaction ⋮ THE STATIC BIFURCATION DIAGRAM FOR THE GRAY–SCOTT MODEL

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