| 一个新混沌纠缠系统的Hopf分岔分析 |
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| 引用本文： | Kutorzi Edwin Yao,张建刚,秦爽.一个新混沌纠缠系统的Hopf分岔分析[J].重庆文理学院学报,2016,35(5):24-28. |
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| 作者姓名： | Kutorzi Edwin Yao 张建刚 秦爽 |
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| 作者单位： | 兰州交通大学数理学院, 甘肃兰州730070,兰州交通大学数理学院, 甘肃兰州730070,兰州交通大学数理学院, 甘肃兰州730070 |
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| 基金项目： | 国家自然科学基金项目（61364001） |
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| 摘 要： | 文章基于混沌纠缠方法构造了一个新的混沌系统，通过理论和数值分析验证了该系统存在混沌吸引子．此外，利用非线性动力学理论分析了该系统平衡点的稳定性以及Hopf分岔的存在性和稳定性．经过计算系统在平衡点的第一Lyapunov系数判断Hopf分岔的方向及其稳定性，最后进行数值仿真验证理论分析的正确性．
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| 关 键 词： | 混沌纠缠 稳定性 Lyapunov系数 Hopf分岔 |
Hopf bifurcation investigation for a new chaos entanglement system |
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| Kutorzi Edwin Yao,ZHANG Jiangang and QIN Shuang.Hopf bifurcation investigation for a new chaos entanglement system[J].Journal of Chongqing University of Arts and Sciences,2016,35(5):24-28. |
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| Authors: | Kutorzi Edwin Yao ZHANG Jiangang and QIN Shuang |
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| Affiliation: | School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou Gansu 730070, China,School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou Gansu 730070, China and School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou Gansu 730070, China |
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| Abstract: | In this paper a new chaos entanglement system was proposed, and the theoretical analysis and numerical results show that chaos attractor exists in the system. In addition, the stability of equilibria and the existence and stability of the Hopf bifurcation were studied by using the theory of nonlinear dynamics. The direction and stability of the Hopf bifurcation were given by computing the first Lyapunov coefficient. Then, the numerical simulation is given to illustrate the theoretical analysis. |
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| Keywords: | chaos entanglement stability Lyapunov coefficients Hopf bifurcation |
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