A Hopf bifurcation in a parabolic free boundary problem

DOI10.1016/0377-0427(94)90363-8zbMath0814.35151OpenAlexW2082018203MaRDI QIDQ1342935

Renate Schaaf, Yoon-Mee Lee, Russell C. Thompson

Publication date: 8 February 1995

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90363-8

zbMATH Keywords

parabolic equationlinearized probleminternal layer solutionreaction-diffusion equations with McKean reaction dynamics

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32)

Related Items (7)

Hopf bifurcation with the spatial average of an activator in a radially symmetric free boundary problem ⋮ Unnamed Item ⋮ Effects on global coupling of an interface problem in an activator-inhibitor system. ⋮ A Hopf bifurcation in a free boundary problem with inhomogeneous media ⋮ INTERACTIVE DYNAMICS IN A BISTABLE ATTRACTION-REPULSION CHEMOTAXIS SYSTEM ⋮ A Hopf bifurcation in a three-component reaction-diffusion system with a chemoattraction ⋮ Internal layer oscillations in FitzHugh-Nagumo equation

Cites Work

• Unnamed Item
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• Geometric theory of semilinear parabolic equations
• The Hopf bifurcation theorem in infinite dimensions
• Nagumo's equation
• Layer Oscillations in Reaction-Diffusion Systems
• Stability of Singularly Perturbed Solutions to Systems of Reaction-Diffusion Equations
• A Geometrical Theory for Spiral Waves in Excitable Media
• Multiple Solutions of Two-Point Boundary Value Problems of Neumann Type with a Small Parameter
• A free boundary problem arising in some reacting–diffusing system

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