| 两个不相同系统的广义同步化 |
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| 引用本文： | 李芳,胡爱花,徐振源.两个不相同系统的广义同步化[J].物理学报,2006,55(2):590-597. |
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| 作者姓名： | 李芳 胡爱花 徐振源 |
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| 作者单位： | 1. 江南大学通信与控制工程学院,无锡,214122
2. 江南大学理学院,无锡,214122 |
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| 摘 要： | 采用Temam无穷维动力系统的惯性流形理论，证明了两个不相同的系统能实现广义同步化.在两个系统具有吸收集和吸引子的基础上，通过定义在一个函数类上的压缩映射的不动点得到了广义同步化流形，该流形是Lipschitz光滑流形，而且具有不变性与指数吸引性.数值仿真证实了所建立理论的正确性.
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| 关 键 词： | 广义同步 吸引子 广义同步流形 |
| 文章编号： | 1000-3290/2006/55(02)/0590-08 |
| 收稿时间： | 10 11 2004 12:00AM |
| 修稿时间： | 2004-10-112005-06-27 |
Generalized synchronization of two non-identical systems |
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| Li Fang,Hu Ai-Hua,Xu Zhen-Yuan.Generalized synchronization of two non-identical systems[J].Acta Physica Sinica,2006,55(2):590-597. |
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| Authors: | Li Fang Hu Ai-Hua Xu Zhen-Yuan |
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| Institution: | 1.School of Communication and Control Engineering, Southern Yangtze University, Wuxi 214122, China ; 2.School of Sciencce , Southem Yangtze University,Wuxi 214122,China |
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| Abstract: | Generalized synchronization of two non-identical systems is studied based on Temam's inertia manifold theory of infinite dimensional dynamical systems. On the assumption that both systems have absorbing sets and attractors, the generalized synchronization manifold, which has the property of Lipschitz smoothness, invariance and exponential absorption, can be attained by defining a fixed point in a class of functions. Simulation results validate the theory. |
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| Keywords: | generalized synchronization attractor generalized synchronization manifold |
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