Dynamic properties of the coupled Oregonator model with delay

Nonlinear Analysis

Chunrui Zhang¹  Xiang Wu¹ 

[1] Northeast Forestry University, China;

关键词: delay;    Hopf bifurcation;    stability;    coupled Oregonator model;   

DOI  :  

来源: DOAJ

【 摘 要 】

This work explores a coupled Oregonator model. By analyzing the associated characteristic equation, linear stability is investigated and Hopf bifurcations are demonstrated, as well as the stability and direction of the Hopf bifurcation are determined by employing the normal form method and the center manifold reduction. We also discussed the Z2 equivariant property and the existence of multiple periodic solutions. Numerical simulations are presented to illustrate the results in Section 5.

【 授权许可】

Unknown