Complete synchronization between two bi-directionally coupled chaotic systems via an adaptive feedback controller  

作　　者：肖玉柱 徐伟 

机构地区：[1]Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China

出　　处：《Chinese Physics B》2007年第6期1597-1602,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China （Grant Nos 10472091, 10502042 and 10332030） and Graduate Starting Seed Fund of Northwestern Polytechnical University （Grant No Z200655）.

摘　　要：In this paper, we apply a simple adaptive feedback control scheme to synchronize two bi-directionally coupled chaotic systems. Based on the invariance principle of differential equations, sufficient conditions for the global asymptotic synchronization between two bi-directionally coupled chaotic systems via an adaptive feedback controller are given. Unlike other control schemes for bi-directionally coupled systems, this scheme is very simple to implement in practice and need not consider coupling terms. As examples, the autonomous hyperchaotic Chen systems and the new nonautonomous 4D systems are illustrated. Numerical simulations show that the proposed method is effective and robust against the effect of weak noise.In this paper, we apply a simple adaptive feedback control scheme to synchronize two bi-directionally coupled chaotic systems. Based on the invariance principle of differential equations, sufficient conditions for the global asymptotic synchronization between two bi-directionally coupled chaotic systems via an adaptive feedback controller are given. Unlike other control schemes for bi-directionally coupled systems, this scheme is very simple to implement in practice and need not consider coupling terms. As examples, the autonomous hyperchaotic Chen systems and the new nonautonomous 4D systems are illustrated. Numerical simulations show that the proposed method is effective and robust against the effect of weak noise.

关 键 词：complete synchronization bi-directionally coupled systems adaptive control 

分 类 号：O23[理学—运筹学与控制论]