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ANTI-SYNCHRONIZATION OF TWO TIME-DELAY BIDIRECTIONAL COUPLING HYPERCHAOTIC SYSTEMS VIA NONLINEAR CONTROL

ANTI-SYNCHRONIZATION OF TWO TIME-DELAY BIDIRECTIONAL COUPLING HYPERCHAOTIC SYSTEMS VIA NONLINEAR CONTROL
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摘要 In this paper we study the chaos synchronization and anti-synchronization problems between two hyper-chaotic systems with bidirectional coupling,and present synchronization and anti-synchronization methods of chaotic systems,based on timedelayed feedback.Coupling coefficients between the drive and response systems are different,which are supposed to be nonlinearly coupled.Based on the nonlinear control theory,the synchronization and anti-synchronization between two different time-delay hyper-chaotic systems are investigated.The condition of synchronization is derived according to the error dynamical systems.Numerical simulations show the effectiveness and feasibility of the proposed synchronous conditions. In this paper we study the chaos synchronization and anti-synchronization problems between two hyper-chaotic systems with bidirectional coupling,and present synchronization and anti-synchronization methods of chaotic systems,based on timedelayed feedback.Coupling coefficients between the drive and response systems are different,which are supposed to be nonlinearly coupled.Based on the nonlinear control theory,the synchronization and anti-synchronization between two different time-delay hyper-chaotic systems are investigated.The condition of synchronization is derived according to the error dynamical systems.Numerical simulations show the effectiveness and feasibility of the proposed synchronous conditions.
出处 《Annals of Differential Equations》 2015年第2期140-147,共8页 微分方程年刊(英文版)
基金 Supported by Scientific and Technological Research Project of The Education Department Henan Province(12B110012)
关键词 hyper-chaotic anti-synchronization bidirectional coupled time-delayed nonlinear control Lyapunov direct method hyper-chaotic anti-synchronization bidirectional coupled time-delayed nonlinear control Lyapunov direct method
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