Lü系统的线性混合双(单)向耦合混沌同步  

Hybrid Synchronization of Linearly Bidirectional(Unidirectional) Coupled Lü System

作　　者：李远杰[1,2] 徐玉华[1,3] 

机构地区：[1]东华大学信息科学与技术学院,上海201620 [2]上海立信会计学院网络中心,上海201620 [3]郧阳师专数学系,湖北十堰442000

出　　处：《河南师范大学学报（自然科学版）》2009年第4期1-4,共4页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(60503027)

摘　　要：针对双(单)向耦合的两个混沌系统的同步问题,提出了一种线性混合双(单)向耦合的混沌系统同步方法.基于矩阵论和Lvapunov稳定性理论,根据同步模型的误差动力学系统给出了同步条件.针对Lü系统,通过选择适当的耦合参数,使得误差系统全局渐进稳定,即使得驱动系统和响应系统的状态达到同步.结果表明,在参数范围内可以保证系统的同步.理论分析和仿真结果都表明了该方法的可行性和有效性.For solving the chaos synchronization problem between two chaos systems.with bidirectional （unidirectional） coupling, a linearly hybrid bidirectionally （unidirectionally） coupled global chaos synchronization scheme is proposed based on the Lyapunov stabilization theory and matrix theory, the condition was derived from error dynamic system of the synchronization model. By choosing proper coupling parameter, the error system is globally asymptotically stable. Thus, the state of the slave system can be synchronized with the master system. The results show that the synchronization of systems can he guaranteed in the parameter scope. Both theoretical analysis and simulation result show the effectiveness and feasibility of the method.

关 键 词：Lü混沌系统 线性混合双(单)向耦合 混沌同步 

分 类 号：O231.1[理学—运筹学与控制论]