具有双向耦合的混沌系统的完全同步  

Complete Synchronization of Chaotic Systems with Bidirectional Coupling

作　　者：付士慧[1] 魏红军[1] 刘洋[1] 

机构地区：[1]郑州大学数学系,河南郑州450001

出　　处：《郑州大学学报（理学版）》2012年第3期29-33,共5页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目;编号10702065;11002055

摘　　要：对具有双向耦合的混沌系统,首先通过广义哈密顿系统和观测器的方法重新设计;其次利用Lyapunov稳定性理论对其误差系统的零解稳定性进行研究,得到了完全同步的条件;最后将该方法应用到洛伦兹系统,数值结果也表明了该方法的正确性.Chaotic systems with bidirectional coupling were redesigned through a generalized Hamiltonian system and observer approach.The error systems were investigated by the Lyapunov stability theory,and synchronization conditions were obtained.The method was applied to Lorenz system and the numerical results coincided with theoretical analysis.

关 键 词：广义哈密顿系统 完全同步 LYAPUNOV稳定性理论 双向耦合 

分 类 号：O322[理学—一般力学与力学基础]