研究混沌系统广义同步问题的一种解析方法  

An Analytical Approach to the Study of Generalized Synchronization in Chaotic Systems

作　　者：张永东[1] 刘永清[1] 刘树堂[1] 

机构地区：[1]华南理工大学自动控制工程系,广州510640

出　　处：《系统工程与电子技术》2000年第11期31-34,共4页Systems Engineering and Electronics

基　　金：国家自然科学基金重点项目资助课题 !(6 99340 30 )

摘　　要：提出了采用解析方法研究非线性单向耦合下连续混沌系统的广义同步问题 ,采用适当的耦合方式使两个处于混沌状态的系统的线性组合满足另一个具有稳定平衡点的系统 ,由于新的组合系统趋于稳定平衡点 ,从而实现了混沌的广义同步。将这种方法应用于Lorenz系统的广义同步 ,结果表明该方法有较好的同步效果 。This paper presents an analytical approcach to the study of generalized synchronization in unidirectionally coupled continuous-time chaotic systems. The resulting combination system converges to the stable equilibrium with proper coupled fashion, which make the linear combination of two chaotic systems satisfy another system with stable equilibrium, consequently the generalized synchronization of chaos is achieved. This method is applied to generalized synchronization of chaos in the Lorenz systems. The results show that the proposed synchronization method is an effective one which is robust with respect to system parameters change.\;

关 键 词：解析函数 广义同步 混沌系统 

分 类 号：O415.5[理学—理论物理]