| 一类四维混沌系统切换混沌同步 |
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| 引用本文： | 刘扬正,姜长生,林长圣.一类四维混沌系统切换混沌同步[J].物理学报,2007,56(2):707-712. |
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| 作者姓名： | 刘扬正 姜长生 林长圣 |
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| 作者单位： | (1)南京工程学院非线性物理研究所,南京 210013; (2)南京航空航天大学自动化学院,南京 210016; (3)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所,南京 210013 |
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| 基金项目： | 国家自然科学基金;江苏省高校自然科学基金;南京工程学院校科研和教改项目 |
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| 摘 要： | 构建了一类可切换的四维混沌系统，通过选择器实现这类系统间的随机切换.简要地分析了四维混沌系统平衡点的性质、混沌吸引子的相图和Lyapunov指数等特性，并设计了实现四维混沌系统切换的实际电路.利用非线性反馈控制方法实现了这类系统与其中某个系统之间的切换混沌同步.根据系统稳定性理论，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.
关键词：
非线性反馈
混沌同步
四维混沌系统
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| 关 键 词： | 非线性反馈 混沌同步 四维混沌系统 |
| 文章编号： | 1000-3290/2007/56(02)/0707-06 |
| 收稿时间： | 2006-05-24 |
| 修稿时间： | 7/8/2006 12:00:00 AM |
Chaos switch-synchronization for a class of 4-D chaotic systems |
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| Liu Yang-Zheng,Jiang Chang-Sheng,Lin Chang-Sheng.Chaos switch-synchronization for a class of 4-D chaotic systems[J].Acta Physica Sinica,2007,56(2):707-712. |
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| Authors: | Liu Yang-Zheng Jiang Chang-Sheng Lin Chang-Sheng |
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| Institution: | College of Automatic Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;Institute of Nonlinear Physics, Narying Institute of Technology, Nanjing 210013, China |
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| Abstract: | A class of switchable four-dimensional chaotic systems is built by adding an additional state to the three-order Lorenz system or Liu system. Some of its basic dynamical properties are studied briefly, such as the feature of equilibrium, the chaos attractor, Lyapunov exponent and fractal dimension. An electronic circuit is designed to realize the class of switchable four-dimensional chaos systems. A method of chaos switch-synchronization between several chaotic systems based on nonlinear feedback control is proposed. Based on the stability theory, the functions of the nonlinear feedback control for synchronization of these systems are determined and the range of available feedback gain is derived. |
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| Keywords: | nonlinear feedback control chaos switch-synchronization the 4-D chaotic system |
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