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。
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.
出处
《重庆邮电大学学报(自然科学版)》
2007年第2期245-248,共4页
Journal of Chongqing University of Posts and Telecommunications(Natural Science Edition)
基金
重庆市科委项目(8477
2005BB2062
2005AC2089)
重庆市教委项目(KJ060508
KJ060513)
关键词
拓扑不等价混沌系统
标量控制器
混沌同步
topologically inequivalent chaotic systems
scalar controller
chaotic synchronization