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

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  • Cun-Hua Zhang
  • Xiang-Ping Yan

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.

Suggested Citation

  • Cun-Hua Zhang & Xiang-Ping Yan, 2015. "Normal Forms of Hopf Bifurcation for a Reaction-Diffusion System Subject to Neumann Boundary Condition," Journal of Applied Mathematics, Hindawi, vol. 2015, pages 1-12, August.
    • Handle: RePEc:hin:jnljam:657307
    DOI: 10.1155/2015/657307
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