| Rikitake双盘发电机模型的混沌与同步 |
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| 引用本文： | 刘晓君,李险峰,王三福. Rikitake双盘发电机模型的混沌与同步[J]. 黑龙江科技学院学报, 2010, 20(3): 216-219 |
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| 作者姓名： | 刘晓君 李险峰 王三福 |
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| 作者单位： | 1. 天水师范学院数学与统计学院,甘肃,天水,741001
2. 兰州交通大学数理与软件工程学院,兰州,730070 |
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| 基金项目： | 甘肃省教育厅科研基金，天水师范学院科研基金 |
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| 摘 要： | 文中利用非线性动力学理论讨论了Rikitake双盘发电机模型的混沌特性。数值计算得到该模型的定态解,并分析了该定态解的稳定性。利用数值仿真,得到该模型在一定参数和初始状态下的吸引子。利用全局分岔图和最大Lyapunov指数谱表征了系统在μ∈[0.1,7]时具有的丰富的动力学行为,利用耦合混沌同步方法实现了该发电机模型的混沌同步。
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| 关 键 词： | 混沌吸引子 分岔 最大Lyapunov指数 分维 混沌同步 |
Chaos and chaos Synchronization of Rikitake two-disk dynamo |
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| LIU Xiaojun,LI Xianfeng,WANG SanFu. Chaos and chaos Synchronization of Rikitake two-disk dynamo[J]. Journal of Heilongjiang Institute of Science and Technology, 2010, 20(3): 216-219 |
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| Authors: | LIU Xiaojun LI Xianfeng WANG SanFu |
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| Affiliation: | 1.School of Mathematics ＆ Statistics,Tianshui Normal University,Tianshui 741001,China; 2.School of Mathematics,Physics ＆ Software Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China) |
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| Abstract: | This paper discusses the chaotic characteristic of the Rikitake two-disk dynamo,based on nonlinear dynamics theory,provides the fixed points of the dynamo obtained by numerical calculation,and offers an analysis of their stabilities.The paper gives the chaotic attractors with certain parameters and initial conditions on different phase spaces through numerical simulation,presents the abundance dynamical behaviors by the global bifurcation graph and the largest Lyapunov exponent spectrum when the parameter μ∈,and shows that the chaos synchronization of the dynamo is realized by the coupling synchronization. |
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| Keywords: | chaotic attractor bifurcation largest Lyapunov exponent fractal dimension chaos synchronization |
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