The existence of generalized synchronisation of three bidirectionally coupled chaotic systems  

作　　者：胡爱花 徐振源 过榴晓 

机构地区：[1]School of Science,Jiangnan University [2]School of Information Technology,Jiangnan University

出　　处：《Chinese Physics B》2010年第2期164-172,共9页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 60575038);the Youth Foundation of Jiangnan University (Grant No. 314000-52210756);the Program for Innovative Research Team of Jiangnan University

摘　　要：The existence of two types of generalized synchronisation is studied. The model considered here includes three bidirectionally coupled chaotic systems, and two of them denote the driving systems, while the rest stands for the response system. Under certain conditions, the existence of generalised synchronisation can be turned to a problem of compression fixed point in the family of Lipschitz functions. In addition, theoretical proofs are proposed to the exponential attractive property of generalised synchronisation manifold. Numerical simulations validate the theory.The existence of two types of generalized synchronisation is studied. The model considered here includes three bidirectionally coupled chaotic systems, and two of them denote the driving systems, while the rest stands for the response system. Under certain conditions, the existence of generalised synchronisation can be turned to a problem of compression fixed point in the family of Lipschitz functions. In addition, theoretical proofs are proposed to the exponential attractive property of generalised synchronisation manifold. Numerical simulations validate the theory.

关 键 词：generalised synchronisation manifold compression fixed point exponential attractive property 

分 类 号：O415.5[理学—理论物理] O174.41[理学—物理]