| Perfect synchronization of chaotic systems： a controllability perspective |
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| 引用本文： | 孙明轩,何熊熊,俞 立. Perfect synchronization of chaotic systems： a controllability perspective[J]. 中国物理, 2006, 15(12): 2883-2889. DOI: 10.1088/1009-1963/15/12/020 |
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| 作者姓名： | 孙明轩 何熊熊 俞 立 |
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| 作者单位： | College of Information Engineering,Zhejiang University of Technology, Hangzhou 310014, China |
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| 基金项目： | Projectsupported by the National Natural Science Foundation of China(Grant No 60474005). |
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| 摘 要： | This paper presents a synchronization method, motivated from the constructivecontrollability analysis, for two identical chaotic systems. This technique isapplied to achieve perfect synchronization for Lorenz systems and coupled dynamosystems. It turns out that states of the drive system and the response system aresynchronized within finite time, and the reaching time is independent of initialconditions, which can be specified in advance. In addition to the simultaneoussynchronization, the response system is synchronized un-simultaneously to the drivesystem with different reaching time for each state. The performance of the resultingsystem is analytically quantified in the face of initial condition error, and withnumerical experiments the proposed method is demonstrated to perform well.
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| 关 键 词： | 可控制性 有限时间收敛 同步化 混沌 |
| 收稿时间： | 2006-04-26 |
| 修稿时间： | 2006-04-262006-06-11 |
Perfect synchronization of chaotic systems: A controllability perspective |
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| Sun Ming-Xuan,He Xiong-Xiong and Yu Li. Perfect synchronization of chaotic systems: A controllability perspective[J]. Chinese Physics, 2006, 15(12): 2883-2889. DOI: 10.1088/1009-1963/15/12/020 |
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| Authors: | Sun Ming-Xuan He Xiong-Xiong Yu Li |
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| Affiliation: | College of Information Engineering,Zhejiang University of Technology, Hangzhou 310014, China |
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| Abstract: | This paper presents a synchronization method, motivated from the constructivecontrollability analysis, for two identical chaotic systems. This technique isapplied to achieve perfect synchronization for Lorenz systems and coupled dynamosystems. It turns out that states of the drive system and the response system aresynchronized within finite time, and the reaching time is independent of initialconditions, which can be specified in advance. In addition to the simultaneoussynchronization, the response system is synchronized un-simultaneously to the drivesystem with different reaching time for each state. The performance of the resultingsystem is analytically quantified in the face of initial condition error, and withnumerical experiments the proposed method is demonstrated to perform well. |
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| Keywords: | controllability finite time convergence synchronization chaos |
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