A new approach to synchronization between two different chaotic systems with parametric perturbation

被引：3
作者：
Han Min [1 ]
Niu Zhi-Qiang [1 ]
Han Bing [1 ]
机构：
[1] Dalian Univ Technol, Sch Elect & Informat Engn, Dalian 116023, Peoples R China
来源：
ACTA PHYSICA SINICA | 2008年 / 57卷 / 11期
基金：
中国国家自然科学基金;
关键词：
chaos; hyperchaos; synchronization; Lyapunov function;
D O I：
10.7498/aps.57.6824
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The problem of chaotic synchronization between two different chaotic systems with parametric perturbation is studied. Based on Lyapunov stability law and norm theory, a sufficient condition to synchronize two different chaotic systems with parametric perturbation is given and a general way of choosing the controller is proposed. This method can realize the synchronization of two chaotic systems with parametric perturbation if the dimensions of the chaotic systems are equal and the state variables are measurable. And it is required that the control must decay to zero together with the errors as soon as the synchronization is reached. The proposed method is robust and can be used widely. Numerical simulations of synchronization between two chaotic systems, and synchronization between two hyperchaotic systems are provided to show the effectiveness and feasibility of the method.
引用
收藏
页码：6824 / 6829
页数：6
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