Multiple Hopf Bifurcations of Three Coupled van der Pol Oscillators with Delay

Authors

Chunrui Zhang, Northeast Forestry University, ChinaFollow
Baodong Zheng, Harbin Institute of Technology, China
Liancheng Wang, Kennesaw State UniversityFollow

Document Type

Article

Publication Date

5-1-2011

Abstract

A system of three coupled van der Pol oscillators with delay is considered. Hopf bifurcations at the zero equilibrium as the delay increases are exhibited. The existence and stability of multiple periodic solutions are established using a symmetric Hopf bifurcation result of Wu (Trans. Amer. Math. Soc. 350 (1998) 4799–4838).