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Linearly Coupled Synchronization of the New Chaotic Systems

Linearly Coupled Synchronization of the New Chaotic Systems
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摘要 This paper investigates synchronization within the new systems, which we denote as Liu system in this paper. New stability criteria for synchronization of linearly coupled Liu systems are attained using the Lyapunov method. Some sufficient conditions for synchronization are concluded through rigorous mathematical theory, which can be further applied to more chaotic systems. Moreover, numerical simulations are given to show the effectiveness of our synchronization criterions. This paper investigates synchronization within the new systems, which we denote as Liu system in this paper. New stability criteria for synchronization of linearly coupled Liu systems are attained using the Lyapunov method. Some sufficient conditions for synchronization are concluded through rigorous mathematical theory, which can be further applied to more chaotic systems. Moreover, numerical simulations are given to show the effectiveness of our synchronization criterions.
出处 《Wuhan University Journal of Natural Sciences》 EI CAS 2005年第6期993-996,共4页 武汉大学学报(自然科学英文版)
基金 Supported by the National Key Basic Research andDevelopment 973 Programof China (2003CB415200) and State KeyLaboratory of Water Resources and Hydropower Engineering Science(2004C011)
关键词 linearly synchronization coupled synchronization chaotic system Lyapunov method linearly synchronization coupled synchronization chaotic system Lyapunov method
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