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1. 新疆大学物理科学与技术学院
2. 中南大学物理科学与技术学院
Published:2011
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[1]李志军,孙克辉,任健.分数阶统一混沌系统的耦合同步研究[J].新疆大学学报(自然科学版),2011,28(02):127-131.
李志军, 孙克辉, 任健. 分数阶统一混沌系统的耦合同步研究[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2011, 28(2): 127-131.
分数阶混沌系统的同步是非线性科学的研究热点.由于目前研究分数阶混沌同步方法还很少
作者研究了基于相互耦合的分数阶统一混沌系统同步方法.根据Lyapunov稳定性理论和Gerschgorin定理推导出了整数阶混沌系统耦合同步定理
将整数阶同步理论扩展到分数阶混沌系统
利用整数阶统一系统同步条件结合仿真方法来确定耦合系数
进而实现分数阶统一混沌系统耦合同步.研究表明
根据整数阶同步理论研究分数阶混沌系统同步的方法是一种有效的分析方法
分数阶统一混沌系统可通过相互耦合方法达到同步.
Synchronization for fractional-order chaotic systems is the hot topic in the field of nonlinear study
but the study about synchronization methods for fractional-order chaotic systems are very rare at present.The co-coupled synchronization method of fractional-order unified chaotic systems is presented for the problem.The co-coupled synchronization theorem of integral-order chaotic systems is deduced according to Lyapunov stability theory and Gerschgorin theorem
and then the synchronization theorem of integral-order chaotic systems is expanded to fractional-order chaotic systems.Coupling coeffcients are confirmed by using the synchronization conditions of integral-order unified chaotic systems and simulation method and then the co-coupled synchronization of fractional-order unified chaotic systems is carried out.The results of study show that the synchronization study method of fractional-order chaotic systems according to the theorem of integral-order chaotic systems is an effcient analysis approach and the fractional-order unified chaotic systems can be synchronized by the co-coupled methods.
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