| 混沌系统最大Lyapunov指数估计新方法研究 |
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| 引用本文： | 杨志红,姚琼荟.混沌系统最大Lyapunov指数估计新方法研究[J].计算技术与自动化,2005,24(2):31-32,80. |
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| 作者姓名： | 杨志红 姚琼荟 |
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| 作者单位： | 海军工程大学电气工程系,湖北,武汉,430033 |
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| 摘 要： | Lyapunov指数是定量描述混沌系统的重要指标。本文提出一种基于混沌同步的最大Lyapunov指数估计方法，通过构造反馈控制耦合混沌同步系统，应用混沌同步条件，估计原系统最大Lyapunov指数即为满足两耦合系统达到同步的最小控制增益。以Lorenz混沌和静摩擦Duffing振子为仿真对象，仿真结果验证了方法的有效性。
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| 关 键 词： | 最大Lyapunov指数 混沌同步 混沌控制 |
| 文章编号： | 1003-6199(2005)02-0031-02 |
Study on a New Estimation Method of the Largest Lyapunov Exponent of Chaotic Systems |
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| YANG Zhi-hong,YAO Qiong-hui.Study on a New Estimation Method of the Largest Lyapunov Exponent of Chaotic Systems[J].Computing Technology and Automation,2005,24(2):31-32,80. |
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| Authors: | YANG Zhi-hong YAO Qiong-hui |
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| Abstract: | The Lyapunov exponent is an important index for chaotic systems. In this paper a method is proposed to estimate the largest Lyapunov exponent based on properties of chaos synchronization. Through constructing feedback controlled coupling chaos synchronization systems and applying synchronization condition, the results show that the minimum control gains to synchronize coupling chaotic systems is the estimation of the largest Lyapunov exponent. Proposed method is applied to Lorenz chaos and dry friction Duffing chaos and numerical simulations demonstrate the validity. |
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| Keywords: | the largest Lyapunov exponent chaos synchronization chaos control |
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