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 poin... 展开>>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. 收起<<

  • 【作者】

    Pei Lijun  Liu Zhenzhen 

  • 【作者单位】

    Department

  • 【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

  • 【会议时间】

    2009-05-15

  • 【会议地点】

    南京

  • 【主办单位】

    中国力学学会

  • 【语种】

    chi

  • 【关键词】

    池田模型  数值模拟  延迟耦合  非共振双Hopf分岔