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Fuhong MIN,Zhiquan WANG,Yong JU.[en_title][J].Control Theory and Technology,2005,3(3):235~240.[Copy]
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FuhongMIN,ZhiquanWANG,YongJU
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Received:February 04, 2004Revised:June 21, 2005
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Some synchronization criteria for bidirectionally-coupled chaotic systems
Fuhong MIN, Zhiquan WANG, Yong JU
(Department of Automation, Nanjing University of Science & Technology, Nanjing Jiangsu 210094,China;.College of Electrical Engineering and Automation, Nanjing Normal University,Nanjing Jiangsu 210042,China)
Abstract:
Based on the stability theory of linear time-varying continuous system,this paper investigates the synchronization of two linear bidirectionally-coupled systems.Sufficient conditions for asymptotic synchronization are obtained for general chaotic system with bidirectional coupling via linear error feedback.Since the trajectory of chaotic system is continuous and bounded,one can choose suitable coupled parameters to satisfy the proposed criterion.The criterion can also be applied to the global synchronization for chaotic systems with linear unidirectional coupling.The chaotic Chen system and the generalized Lorenz-like system are taken as examples,the simulations verify the effectiveness of the proposed method.
Key words:  Chaos synchronization  Time_varying systems  Bidirectional coupling