Chaos synchronization between linearly coupled chaotic systems
Chaos synchronization between linearly coupled chaotic systems
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DOI：
10.1016/s0960-0779(02)00005-x
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发表时间：
2002-09
影响因子：
7.8
通讯作者：
Jinhu Lu;Tianshou Zhou;Suochun Zhang
中科院分区：
文献类型：
--
作者：
Jinhu Lu;Tianshou Zhou;Suochun Zhang
研究了两个线性耦合混沌系统之间的混沌同步问题。从严格的数学理论出发，得到了几个全局渐近同步的充分条件。同时，给出了一种分析同步解稳定性的新方法。利用该方法，得到了同步混沌解线性稳定的几个充分条件。针对三个典型的混沌系统：Lorenz系统、Chen系统和新发现的Lü系统，进一步研究了耦合系数对混沌同步的影响。
This paper investigates the chaos synchronization between two linearly coupled chaotic systems. Some sufficient conditions of global asymptotic synchronization are attained from rigorously mathematical theory. Also, a new method for analyzing the stability of synchronization solution is presented. Using this method, some sufficient conditions of linear stability of the synchronization chaotic solution are gained. The influence of coupling coefficients on chaos synchronization is further studied for three typical chaotic systems: Lorenz system, Chen system, and newly found Lü system.