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A Method of Chaotic Generalized Synchronization with the Stability of Error System |
Zhu Zhi-liang① Li Shu-ping② Yu Hai① |
①(Software College, Northeastern University, Shenyang 110004, China) ②(College of Information Science & Engineering, Northeastern University, Shenyang 110004, China) |
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Abstract When the chaotic systems are divided into linear and nonlinear parts, a new approach is presented to realize generalized synchronization of chaotic systems, by using feedback control and parameter commutation. Based on linear transform, the question of generalized synchronization system can be transformed into the stability question of synchronous error system, and the existence condition of GS has been given. Furthermore, favorable performance of generalized synchronization can be improved according to configuration of GS velocity。Expansive generalization can be acquired, without a limit of stability of linear part of the chaotic system. The Lorenz system is taken for illustration and verification,and the results of the simulation indicated that the method is provided of favorable applicability.
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Received: 11 June 2007
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Corresponding Authors:
Zhu Zhi-liang
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