异结构系统混沌同步的新方法  

A new method of synchronization between two different chaotic systems

作　　者：李爽[1] 徐伟[1] 李瑞红[1] 李玉鹏[2] 

机构地区：[1]西北工业大学理学院应用数学系,西安710072 [2]西北大学计算机科学系,西安710069

出　　处：《物理学报》2006年第11期5681-5687,共7页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10472091;10332030和10502042)资助的课题.~~

摘　　要：基于Lyapunov稳定性理论,结合反馈控制和自适应控制方法,提出了一种异结构混沌系统同步的新方法.该方法适用范围广,不仅能为人们提供控制器的一般选取办法,而且对于具体的误差系统还可进一步简化控制器结构,具有稳健、易于实现等优点.通过对Lorenz系统与Liu系统、超混沌的Rssler系统与广义Lorenz系统的同步数值仿真,证实了该方法的有效性.Based on Lyapunov stability theory, a new method combining feedback control and adaptive control is proposed for the synchronization between two different chaotic systems. This method can be applied to solve synchronization problems of several classes of chaotic systems, e.g., Lorenz system, Chen system, Lti system, Liu system, and RSssler system. It offers a general way of choice for the controller, and furthermore, for some concrete systems the controller can be simplified. Numerical simulation results are presented to demonstrate the effectiveness of the proposed method.

关 键 词：混沌同步 LORENZ系统 Roessler系统 LYAPUNOV函数 

分 类 号：O415.5[理学—理论物理]