| 一个五维自治超混沌系统的混沌同步与反同步 |
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| 引用本文： | 刘晓君,李险峰,王三福,杨丽新.一个五维自治超混沌系统的混沌同步与反同步[J].四川大学学报(自然科学版),2010,47(4):810-814. |
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| 作者姓名： | 刘晓君 李险峰 王三福 杨丽新 |
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| 作者单位： | 1. 天水师范学院,数学与统计学院,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： | 甘肃省自然科学基金(3ZS042-B25-049); 甘肃省教育厅科研基金(0808-04);天水师院科研基金(TSB0818, TSB0721) |
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| 摘 要： | 本文利用非线性理论和数值仿真分析了一个五维自治系统的超混沌特征，发现该系统具有丰富的动力学行为.利用合适的非线性控制器实现了系统的同步.同时，为其设计了合适的观测器使得系统达到混沌反同步，数值仿真的结果说明了此观测器的有效性.
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| 关 键 词： | 超混沌系统 混沌同步 混沌反同步 状态观测器 |
Chaos synchronization and anti-synchronization of a five-dimensional autonomous hyper-chaotic system |
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| LIU Xiao-Jun,LI Xian-Feng,WANG San-Fu,YANG Li-Xin.Chaos synchronization and anti-synchronization of a five-dimensional autonomous hyper-chaotic system[J].Journal of Sichuan University (Natural Science Edition),2010,47(4):810-814. |
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| Authors: | LIU Xiao-Jun LI Xian-Feng WANG San-Fu YANG Li-Xin |
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| Institution: | School of Mathematics and Statistics, Tianshui Normal College;School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University;School of Mathematics and Statistics, Tianshui Normal College;School of Mathematics and Statistics, Tianshui Normal College |
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| Abstract: | In this paper,the hyper-chaotic characteristic of a 5-dimensional system is studied in theoretical analysis and numerical simulations,and abundant dynamical behavior is presented.The synchronization of the system can be realized by proper nonlinear controller.In order to realize the anti-synchronization of the system,a proper systematical state controller is designed.Numerical simulations show that the state observer works well. |
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| Keywords: | hyper-chaotic system synchronization anti-synchronization state observer |
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