| 超混沌Lorenz系统的线性与非线性耦合同步 |
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| 引用本文： | 崔浩,褚衍东,张建刚,李险峰.超混沌Lorenz系统的线性与非线性耦合同步[J].重庆工学院学报,2008,22(12):82-86. |
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| 作者姓名： | 崔浩 褚衍东 张建刚 李险峰 |
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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]兰州交通大学非线性研究中心,兰州730070 |
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| 基金项目： | 甘肃省自然科学基金重点资助项目(3ZS051-A25-030,3ZS-042-B25-049); 兰州交通大学科研基金资助项目(DXS-07-0028,DXS-07-00289) |
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| 摘 要： | 通过理论分析与数值仿真，分别实现了一类超混沌系统的线性与非线性反馈控制耦合同步．利用超混沌系统的最大Lyapunov指数确定反馈控制系数需满足的取值范围，实现线性耦合同步．对于非线性耦合同步，则是基于对Lyapunov方法的理论讨论，给出超混沌系统在全局范围内实现同步的充分条件．
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| 关 键 词： | 超混沌系统 耦合同步 Lyapunov方法 耦合系数 反馈控制 |
Linear and Non-linear Coupling Synchronization of Hyperchaos Lorenz Systems |
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| CUI Haoa,CHU Yan-donga,b,ZHANG Jian-ganga,LI Xian-fenga,b.Linear and Non-linear Coupling Synchronization of Hyperchaos Lorenz Systems[J].Journal of Chongqing Institute of Technology,2008,22(12):82-86. |
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| Authors: | CUI Haoa CHU Yan-donga b ZHANG Jian-ganga LI Xian-fenga b |
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| Affiliation: | CUI Haoa,CHU Yan-donga,b,ZHANG Jian-ganga,LI Xian-fenga,b(a.School of Mathematics,Physics , Software Engineering,b.Nonlinear Science Research Center,Lanzhou Jiaotong University,Lanzhou 730070,China) |
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| Abstract: | Through theoretical analysis and numerical simulation,this paper achieves the linear and non-linear feedback control coupling synchronization of a hyperchaos system respectively.Through the largest Lyapunov exponent of the hyperchaos system,the value range of feedback control coefficient is determined to achieve linear coupling synchronization;for nonlinear coupling synchronization,it is based on the theoretical discussion of Lyapunov method that the sufficient condition to achieve synchronization in the gl... |
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| Keywords: | hyperchaos system coupled synchronization Lyapunov method coupling coefficient feedback control |
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