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2015 Normal Forms of Hopf Bifurcation for a Reaction-Diffusion System Subject to Neumann Boundary Condition
Cun-Hua Zhang, Xiang-Ping Yan
J. Appl. Math. 2015: 1-12 (2015). DOI: 10.1155/2015/657307

Abstract

A reaction-diffusion system coupled by two equations subject to homogeneous Neumann boundary condition on one-dimensional spatial domain ( 0 , l π ) with l > 0 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 ( 0,0 ) are obtained.

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Cun-Hua Zhang. Xiang-Ping Yan. "Normal Forms of Hopf Bifurcation for a Reaction-Diffusion System Subject to Neumann Boundary Condition." J. Appl. Math. 2015 1 - 12, 2015. https://doi.org/10.1155/2015/657307

Information

Published: 2015
First available in Project Euclid: 17 August 2015

zbMATH: 07132073
MathSciNet: MR3384375
Digital Object Identifier: 10.1155/2015/657307

Rights: Copyright © 2015 Hindawi

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