Source :
International Journal of Bifurcation and Chaos
Descriptors :
Reaction–diffusion , Bogdanov–Takens singularity , delay; normal form , codimension , two bifurcation
Abstract :
In this paper, a class of reaction–diffusion system with Neumann boundary condition is considered.
By analyzing the generalized eigenvector associated with zero eigenvalue, an equivalent
condition for the determination of Bogdonov–Takens (B–T) singularity is obtained. Next, by
using center manifold theorem and normal form method, we have a two-dimension ordinary
differential system on its center manifold. Finally, two examples show that the given algorithm
is effective.
Title of Article :
Bogdanov–Takens Bifurcation of a Class of Delayed Reaction–Diffusion System
Author/Authors :
Cao, Jianzhi , Wang, Peiguang , Yuan, Rong , Mei, Yingying
Author/Authors - جزئيات :
