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

被引：21

作者：

Zhang, Chunrui ^{[2
]}

Zheng, Baodong ^{[1
]}

Wang, Liancheng ^{[3
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

[2] NE Forestry Univ, Dept Math, Harbin 150040, Peoples R China

[3] Kennesaw State Univ, Dept Math & Stat, Kennesaw, GA 30144 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 17期

关键词：

Symmetry; Coupled van der Pol oscillators; Delay; Hopf bifurcation; Periodic solution; FUNCTIONAL-DIFFERENTIAL EQUATIONS; SYNCHRONIZATION DYNAMICS; STABILITY; NETWORKS; NEURONS; RING;

D O I：

10.1016/j.amc.2011.01.110

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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). (c) 2011 Elsevier Inc. All rights reserved.

引用

页码：7155 / 7166

页数：12

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