| 一个类Lorenz系统的非线性分析 |
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| 引用本文： | 杨敏,俞建宁,安新磊.一个类Lorenz系统的非线性分析[J].云南民族大学学报(自然科学版),2013,22(3):198-201. |
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| 作者姓名： | 杨敏 俞建宁 安新磊 |
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| 作者单位： | 兰州交通大学数理学院,甘肃兰州,730070 |
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| 摘 要： | 研究了1个类Lorenz系统的非线性动力学.更精确地研究了1个四参数二次混沌系统的稳定性和分岔.通过Lyapunov指数、Poincare截面图和Lyapunov维数研究了系统的动力学特性,结果显示该系统拥有丰富的动力学行为.
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| 关 键 词： | 混沌 Hopf分岔 稳定性 Lyapunov指数 Poincare映射 |
Nonlinear analysis of a Lorenz-like system |
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| YANG Min
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YU Jian-ning
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AN Xin-Lei.Nonlinear analysis of a Lorenz-like system[J].Journal of Yunnan Nationalities University:Natural Sciences Edition,2013,22(3):198-201. |
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| Authors: | YANG Min YU Jian-ning AN Xin-Lei |
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| Institution: | (School of Mechatronics, Lanzhou Jiaotong University, Lanzhou 730070, China) |
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| Abstract: | This paper focuses on the study of the nonlinear dynamics of a Lorez - like system and gives a more precise analysis of the stability and bifurcations of a four parameter quadratic chaotic system. It uses the Lyapunov exponent, Poincare section and Lyapunov dimension to study the dynamics of the system, and the results show that the chaotic system has abundant dynamical behaviors. |
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| Keywords: | chaos Hopf bifurcations stability Lyapunov coefficients Poincare map |
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