一类混沌系统的同步控制方法  

Synchronous Control Method of One Class of Chaotic Systems

作　　者：王俊霞[1] 王文霞[1] 

机构地区：[1]太原师范学院数学系,山西太原030012

出　　处：《成都大学学报（自然科学版）》2011年第4期325-327,330,共4页Journal of Chengdu University（Natural Science Edition）

基　　金：国家自然科学基金(10961020);山西省自然科学基金(2006011013);山西省高校科技开发项目(20111021)资助项目

摘　　要：给出了一种实现混沌同步的控制方法,通过引入待定的控制项,将两系统的混沌同步问题转化为与其对应的线性系统的零解渐近稳定性问题,然后根据线性系统控制理论确定控制项,以实现两混沌系统的同步.采用上述同步方法,对两个全同的吕系统进行了讨论,讨论其复杂的混沌同步行为,用Mathematica软件进行仿真实验,理论分析和数值仿真结果都表明了方法的有效性.One control method was proposed to achieve chaos synchronization of chaotic systems.Undetermined control items were introduced to transform the chaos synchronization problem into that of discussing the asymptotic stability of the zero solution of its corresponding linear systems.According to the control theory of linear system,the control variable was determined to realize the synchronization of the two chaoses.Using the above-mentioned method,two identical Lü systems were studied and their complex chaos synchronization were discussed.The Mathematical software was used to do the simulated experiments.Both theoretical analysis and simulation results show the effectiveness of this method.

关 键 词：全同混沌系统 混沌同步 全局渐近稳定 吕系统 

分 类 号：O192[理学—数学]