Multiple Hopf bifurcations of three coupled van der Pol oscillators with delay

作者：Zhang Chunrui; Zheng Baodong^*; Wang Liancheng

来源：Applied Mathematics and Computation, 2011, 217(17): 7155-7166.

DOI：10.1016/j.amc.2011.01.110

• Symmetry
• Coupled van der Pol oscillators
• Delay
• Hopf bifurcation
• Periodic solution

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).

• 出版日期2011-5-1
• 单位东北林业大学; 哈尔滨工业大学