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一类拓扑不等价混沌系统的同步
引用本文:黄琼,刘翔,周平.一类拓扑不等价混沌系统的同步[J].重庆邮电学院学报(自然科学版),2007(2).
作者姓名:黄琼  刘翔  周平
作者单位:重庆邮电大学非线性系统研究所 重庆400065
摘    要:利用非线性系统混沌同步理论,研究了一类拓扑不等价混沌系统之间的广义混沌同步。对一类拓扑不等价混沌系统,通过设计一个合适标量控制器,可以实现不同混沌系统之间的广义同步。给出了从混沌系统得到该标量控制器设计的一般方法,并利用严格数学理论得到了广义同步的充分必要争件,并论证了该充分和必要条件与混沌系统的性质无关。

关 键 词:拓扑不等价混沌系统  标量控制器  混沌同步

Synchronization for a class of topologically inequivalent chaotic systems
HUANG Qiong LIU Xiang ZHOU Ping.Synchronization for a class of topologically inequivalent chaotic systems[J].Journal of Chongqing University of Posts and Telecommunications(Natural Sciences Edition),2007(2).
Authors:HUANG Qiong LIU Xiang ZHOU Ping
Abstract:Using nonlinear chaotic synchronization theory,the generalized chaotic synchronization between a class of topologically inequivalent chaotic systems is studied.Adding a suitable scalar controller to a class of topologically in- equivalent chaotic systems,the chaotic synchronization between those topologically inequivalent chaotic systems can be realized.The method of obtaining the scalar controller from topologically inequivalent chaotic systems is presen- ted;at the same time,the sufficient and necessary condition of chaotic synchronization is obtained.More important- ly,it is proved that the sufficient and necessary condition is independent of the character of chaotic systems.
Keywords:topologically inequivalent chaotic systems  scalar controller  chaotic synchronization
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