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Multiple Hopf bifurcations of three coupled van der Pol oscillators with delay |
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| Authors: | Chunrui ZhangBaodong Zheng Liancheng Wang |
| Institution: | a Department of Mathematics, Northeast Forestry University, Harbin 150040, PR China b Department of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China c Department of Mathematics and Statistics, Kennesaw State University, Kennesaw, GA 30144-5591, USA |
| 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). |
| Keywords: | Symmetry Coupled van der Pol oscillators Delay Hopf bifurcation Periodic solution |
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