Generalized synchronization of two unidirectionally coupled discrete stochastic dynamical systems  

作　　者：袁志玲 徐振源 过榴晓 

机构地区：[1]School of science,Jiangnan University

出　　处：《Chinese Physics B》2011年第7期107-116,共10页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No.11002061)

摘　　要：The existence of two kinds of generalized synchronization manifold in two unidirectionally coupled discrete stochastic dynamical systems is studied in this paper. When the drive system is chaotic and the modified response system collapses to an asymptotically stable equilibrium or asymptotically stable periodic orbit, under certain conditions, the existence of the generalized synchronization can be converted to the problem of a Lipschitz contractive fixed point or Schauder fixed point. Moreover, the exponential attractive property of generalized synchronization manifold is strictly proved. In addition, numerical simulations demonstrate the correctness of the present theory. The physical background and meaning of the results obtained in this paper are also discussed.The existence of two kinds of generalized synchronization manifold in two unidirectionally coupled discrete stochastic dynamical systems is studied in this paper. When the drive system is chaotic and the modified response system collapses to an asymptotically stable equilibrium or asymptotically stable periodic orbit, under certain conditions, the existence of the generalized synchronization can be converted to the problem of a Lipschitz contractive fixed point or Schauder fixed point. Moreover, the exponential attractive property of generalized synchronization manifold is strictly proved. In addition, numerical simulations demonstrate the correctness of the present theory. The physical background and meaning of the results obtained in this paper are also discussed.

关 键 词：generalized synchronization manifold discrete stochastic dynamical system Lipschitzsmoothness HSlder continuity 

分 类 号：O415.5[理学—理论物理]