A HOPF BIFURCATION IN A FREE BOUNDARY PROBLEM DEPENDING ON THE SPATIAL AVERAGE OF AN ACTIVATOR

DOI10.1142/S0218127403008508zbMath1078.37520MaRDI QIDQ4669034

YoonMee Ham

Publication date: 15 April 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

free boundary problemHopf bifurcationactivator-inhibitor systemspatial average

Mathematics Subject Classification ID

Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

Related Items (1)

Effects on global coupling of an interface problem in an activator-inhibitor system.

Cites Work

• Higher-dimensional localized patterns in excitable media
• Nagumo's equation
• On Mode Interactions in Reaction Diffusion Equation with Nearly Degenerate Bifurcations
• 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
• The chemical basis of morphogenesis

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