Hopf bifurcation with the spatial average of an activator in a radially symmetric free boundary problem

DOI10.1155/2010/529869zbMath1205.35022OpenAlexW2024981213WikidataQ58653140 ScholiaQ58653140MaRDI QIDQ613823

YoonMee Ham

Publication date: 23 December 2010

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232424

zbMATH Keywords

radially symmetric solutionsinterface problem

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32)

Cites Work

• Higher-dimensional localized patterns in excitable media
• A Hopf bifurcation in a radially symmetric free boundary problem
• Geometric theory of semilinear parabolic equations
• A Hopf bifurcation in a parabolic free boundary problem
• Spherically symmetric internal layers for activator-inhibitor systems. I: Existence by a Lyapunov-Schmidt reduction
• Spherically symmetric internal layers for activator-inhibitor systems. II: Stability and symmetry breaking bifurcations
• 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
• Pattern dynamics in inhomogeneous active media

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