Double Hopf bifurcation in a bidirectionally linearly coupled identical Ikeda model with time delay

摘要：

In this paper，we consider a coupled Ikeda system with a single delay. By regarding the time delay ? And laser intensity m as the bifurcation parameters，some non-resonant double Hopf bifurcation point is discovered. The dynamical equations on the center manifold are obtained by the center manifold theory. Then，the normal form for the non-resonant double Hopf bifurcation is deduced by the normal form method. The local dynamical behaviors near the double Hopf bifurcation point are also classied in details.Finally，numerical simulations supporting our theoretical results are also presented.

关键词： 池田模型 数值模拟 延迟耦合 非共振双Hopf分岔

作者: Pei Lijun Liu Zhenzhen

作者单位: Department of Mathematics, Zhengzhou University,Zhengzhou, Henan, 450001, P. R. China

会议类型: 国内会议

会议名称: 第十二届全国非线性振动暨第九届全国非线性动力学和运动稳定性学术会议

会议地点: 南京

会议语种:英文

页码: 1-6

在线出版日期: 2009-05-15（万方平台首次上网日期，不代表论文的发表时间）