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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].重庆邮电大学学报(自然科学版),2007,19(2):245-248.
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;重庆邮电大学,非线性系统研究所,重庆,400065;重庆邮电大学,非线性系统研究所,重庆,400065
基金项目:重庆市科委资助项目 , 重庆市教委资助项目
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条件,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
文章编号:1673-825X(2007)02-0245-04
收稿时间:2006-12-30
修稿时间:2006-12-302007-03-10

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,2007,19(2):245-248.
Authors:HUANG Qiong  LIU Xiang  ZHOU Ping
Institution:Institute for Nonlinear Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065,P. R. China
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 inequivalent 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 presented; 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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