| 超混沌系统的间歇同步与控制 |
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| 引用本文： | 马军,廖高华,莫晓华,李维学,张平伟.超混沌系统的间歇同步与控制[J].物理学报,2005,54(12):5585-5590. |
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| 作者姓名： | 马军 廖高华 莫晓华 李维学 张平伟 |
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| 作者单位： | (1)广西民族学院电子与通信工程学院，南宁 530006; (2)广西师范大学物理与信息工程学院，桂林 541004; (3)湖南理工学院物理与电子信息系，岳阳 414006; (4)兰州理工大学物理系，兰州 730050 |
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| 基金项目： | 国家自然科学基金(批准号：90303010)资助的课题. |
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| 摘 要： | 基于稳定性理论，采用间歇反馈控制研究了四维连续超混沌Rssler和LC振子系统.通过选择恰当的控制周期Ts、自治周期Ta以及反馈系数k来设计控制器.数值计算表明：所设计的控制器使系统经过大约8到35个时间单位达到了稳定点，两个系统之间经过大约15到50个时间单位实现了全局同步.通过求解系统Jacobi矩阵的特征值来确定Ts与Ta的关系，获得间歇控制下控制器稳定的条件.数值计算结果与理论分析一致.
关键词：
超混沌
同步
Jacobi矩阵
稳定性
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| 关 键 词： | 超混沌 同步 Jacobi矩阵 稳定性 |
| 文章编号： | 1000-3290/2005/54（12）/5585-06 |
| 收稿时间： | 3/9/2005 12:00:00 AM |
| 修稿时间： | 2005-03-092005-07-11 |
Hyperchaos synchronization and control using intermittent feedback |
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| Ma Jun,Liao Gao-Hua,Mo Xiao-Hua,Li Wei-Xue,Zhang Ping-Wei.Hyperchaos synchronization and control using intermittent feedback[J].Acta Physica Sinica,2005,54(12):5585-5590. |
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| Authors: | Ma Jun Liao Gao-Hua Mo Xiao-Hua Li Wei-Xue Zhang Ping-Wei |
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| Institution: | 1. Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China ; 2. Department of Physics and Electronic Information, Hunan Institute of Science and Technology, Yueyang 414006, China ; 3 . College of Electronics and Telecommunications Engineering, Guangxi University for Nationalities, Nanning 530006, China ; 4 . College of Physics and Information Technology, Guangxi Normal University, Guilin 541004, China |
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| Abstract: | Based on the stability theory,intermittent feedback scheme is proposed to synchronize and control the four-dimensional continuous hyperchaotic Rssler and LC systems. The systems are directed to reach arbitrary desired target within about 8 to 35 time units and realize complete synchronization within about 15 to 50 time units under this scheme by selecting right autonomous period Ta, controlling period Ts and gain coefficient k.The advantage of this scheme is that the controller is designed analytically in detail,not only relying on the common numerical simulation.The controller works only on certain period and the system develops freely in other periods. The numerical simulation results confirmed its effectiveness and gave evidence that shorter transient period before reaching desired target requires bigger feedback coefficient k,and it is consistent with the theoretical analysis. |
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| Keywords: | hyperchaos synchronization Jacobi matrix stability |
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