Normal Forms of Hopf Bifurcation for a Reaction-Diffusion System Subject to Neumann Boundary Condition
A reaction-diffusion system coupled by two equations subject to homogeneous Neumann boundary condition on one-dimensional spatial domain (0,lπ) with l>0 is considered. According to the normal form method and the center manifold theorem for reaction-diffusion equations, the explicit formulas deter...
Main Authors: | Cun-Hua Zhang, Xiang-Ping Yan |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2015-01-01
|
Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2015/657307 |
Similar Items
-
Normal Forms for the Hopf Bifurcations in the Lorenz System
by: Truman, Jeffrey Victor
Published: (2010) -
Turing instability and spatially homogeneous Hopf bifurcation in a diffusive Brusselator system
by: Xiang-Ping Yan, et al.
Published: (2020-07-01) -
Normal Form Analysis of Hopf Bifurcation Exemplified by Duffing’s Equation
by: A.Y.T. Leung, et al.
Published: (1994-01-01) -
Hopf Bifurcation, Hopf-Hopf Bifurcation, and Period-Doubling Bifurcation in a Four-Species Food Web
by: Huayong Zhang, et al.
Published: (2018-01-01) -
Zero-Hopf bifurcation and Hopf bifurcation for smooth Chua’s system
by: Junze Li, et al.
Published: (2018-04-01)