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Chin. Phys. B, 2011, Vol. 20(7): 070503    DOI: 10.1088/1674-1056/20/7/070503
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Generalized synchronization of two unidirectionally coupled discrete stochastic dynamical systems

Yuan Zhi-Ling(袁志玲), Xu Zhen-Yuan(徐振源), and Guo Liu-Xiao(过榴晓)
School of science, Jiangnan University, wuxi 214122, China
Abstract  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.
Keywords:  generalized synchronization manifold      discrete stochastic dynamical system      Lipschitz smoothness      H?lder continuity  
Received:  06 September 2010      Revised:  21 March 2011      Accepted manuscript online: 
PACS:  05.45.Xt (Synchronization; coupled oscillators)  

Cite this article: 

Yuan Zhi-Ling(袁志玲), Xu Zhen-Yuan(徐振源), and Guo Liu-Xiao(过榴晓) Generalized synchronization of two unidirectionally coupled discrete stochastic dynamical systems 2011 Chin. Phys. B 20 070503

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