Normal Forms of Hopf Bifurcation for a Reaction-Diffusion System Subject to Neumann Boundary Condition

Cun-Hua Zhang and Xiang-Ping Yan

Journal of Applied Mathematics, 2015, vol. 2015, 1-12

Abstract:

A reaction-diffusion system coupled by two equations subject to homogeneous Neumann boundary condition on one-dimensional spatial domain with is considered. According to the normal form method and the center manifold theorem for reaction-diffusion equations, the explicit formulas determining the properties of Hopf bifurcation of spatially homogeneous and nonhomogeneous periodic solutions of system near the constant steady state are obtained.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:657307

DOI: 10.1155/2015/657307

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