文献类型：期刊文献

英文题名：Stability and bifurcation analysis in the delay-coupled van der Pol oscillators

作者：Zhang, Jianming[1,2];Gu, Xinsheng[1]

机构：[1]E China Univ Sci & Technol, Res Inst Automat, Shanghai 200237, Peoples R China;[2]Zhejiang Sic Tech Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China

年份：2010

卷号：34

期号：9

起止页码：2291

外文期刊名：APPLIED MATHEMATICAL MODELLING

收录：;EI(收录号：20102112948743);WOS:【SCI-EXPANDED(收录号:WOS:000278432500002)】；

基金：Supported by the National Nature Science Foundation of China (No. 10871181).

语种：英文

外文关键词：Coupled van der Pol equations; Stability switches; Hopf bifurcation; Normal form

摘要：In this paper, the dynamics of a system of two van der Pol equations with a finite delay are investigated. We show that there exist the stability switches and a sequence of Hopf bifurcations occur at the zero equilibrium when the delay varies. Using the theory of normal form and the center manifold theorem, the explicit expression for determining the direction of the Hopf bifurcations and the stability of the bifurcating periodic solutions are derived. (C) 2009 Elsevier Inc. All rights reserved.