| 新的四维超混沌Liu系统及其混沌同步 |
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| 引用本文： | 刘扬正,林长圣,姜长生.新的四维超混沌Liu系统及其混沌同步[J].电子科技大学学报(社会科学版),2008(2). |
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| 作者姓名： | 刘扬正 林长圣 姜长生 |
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| 作者单位： | 南京航空航天大学自动化学院;南京工程学院非线性物理研究室;南京航空航天大学自动化学院 南京210016 南京工程学院非线性物理研究室南京; |
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| 基金项目： | 国家自然科学基金(90405011) |
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| 摘 要： | 在三维Liu系统的基础上增加一维状态,构建了一个新的四维超混沌Liu系统。简要地分析了该系统平衡点的性质、超混沌吸引子的相图、Lyapunov指数和Lyapunov维数等特性,设计了一种实现四维超混沌Liu系统的实际电路。利用非线性反馈控制方法实现了该超混沌系统的混沌同步,根据系统的稳定性理论,得到了非线性反馈控制器的结构和系统达到混沌同步时反馈控制增益的取值范围,数值实验的结果验证了理论分析的正确性。
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| 关 键 词： | 混沌同步 Lyapunov指数 非线性反馈 四维超混沌Liu系统 |
Chaotic Synchronization for a New Four-Dimensional Hyperchaos Liu System |
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| LIU Yang-zheng,LIN Chang-sheng, JIANG Chang-sheng.Chaotic Synchronization for a New Four-Dimensional Hyperchaos Liu System[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),2008(2). |
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| Authors: | LIU Yang-zheng LIN Chang-sheng JIANG Chang-sheng |
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| Institution: | LIU Yang-zheng1,2,LIN Chang-sheng2,, JIANG Chang-sheng1 (1. College of Automatic Engineering,Nanjing University of Aeronautics , Astronautics Nanjing 210016,2. Institute of Nonlinear Physics,Nanjing Institute of Technology Nanjing 210013) |
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| Abstract: | The four-dimensional hyperchaos Liu system is built by adding an additional state into the three-order Liu system. Some of its basic dynamical properties are studied briefly,such as the feature of equilibrium,the hyperchaos attractor,Lyapunov exponent and fractal dimension. An electronic circuit is designed to realize the four-dimensional hyperchaos Liu system. A method of chaos synchronization between the four-dimensional hyperchaos Liu system and its duplicate system using nonlinear feedback control is pr... |
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| Keywords: | chaos synchronization Lyapunov exponent nonlinear feedback the four-dimensional hyperchaos Liu system |
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