| 一个新类Lorenz混沌系统的动力学分析及电路仿真 |
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| 引用本文： | 李险峰,褚衍东,徐冬亮,张建刚. 一个新类Lorenz混沌系统的动力学分析及电路仿真[J]. 四川大学学报(自然科学版), 2008, 45(5): 1167-1173 |
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| 作者姓名： | 李险峰 褚衍东 徐冬亮 张建刚 |
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| 作者单位： | 1. 兰州交通大学数理与软件工程学院,兰州,730070
2. 兰州大学信息科学与工程学院,兰州,730000 |
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| 基金项目： | 国家自然科学基金，甘肃省自然科学基金，兰州交通大学校科研和教改项目 |
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| 摘 要： | 提出了一个新的三维自治类Lorenz系统,理论分析了该系统的非线性动力学特性.分析了系统在平衡点处的稳定性,以及产生Hopf分岔的条件. 最后对该系统的一个混沌吸引子进行了数值仿真和实际电路模拟.
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| 关 键 词： | 新类Lorenz系统 分岔 混沌 电路实现 |
Nonlinear dynamics and circuit implementation of a new Lorenz-like attractor |
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| LI Xian-Feng,CHU Yan-Dong,XU Dong-Liang and ZHANG Jian-Gang. Nonlinear dynamics and circuit implementation of a new Lorenz-like attractor[J]. Journal of Sichuan University (Natural Science Edition), 2008, 45(5): 1167-1173 |
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| Authors: | LI Xian-Feng CHU Yan-Dong XU Dong-Liang ZHANG Jian-Gang |
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| Affiliation: | School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University;School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University;School of Information Science and Engineering, Lanzhou University;School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University |
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| Abstract: | In this paper, a new three dimensional Lorenz-like chaotic system is reported. Nonlinear characteristic and basic dynamic properties of the three-dimensional autonomous system are studied by means of nonlinear dynamics theory, including the stability and the conditions for generating Hopf bifurcation of the equilibria. The chaotic system is not only demonstrated by numerical simulation but also verified with the electronic circuit. |
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| Keywords: | new Lorenz-like system bifurcation chaos circuit implementation |
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