Hopf Bifurcation with the Spatial Average of an Activator in a Radially Symmetric Free Boundary Problem

YoonMee Ham

Mathematical Problems in Engineering, 2010, vol. 2010, 1-18

Abstract:

An interface problem derived by a bistable reaction-diffusion system with the spatial average of an activator is studied on an -dimensional ball. We analyze the existence of the radially symmetric solutions and the occurrence of Hopf bifurcation as a parameter varies in two and three-dimensional spaces.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:529869

DOI: 10.1155/2010/529869

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