用改进的耦合参数法实现二维logistic映象系统的混沌同步  

Time-varying Synchronization of Two 2-D Logistic Map

作　　者：刘虎[1] 杨世平[2] 张闪[1] 单勇[2] 

机构地区：[1]石家庄铁道学院数理系,河北石家庄050041 [2]河北师范大学物理科学与信息工程学院,河北石家庄050016

出　　处：《河北师范大学学报（自然科学版）》2006年第1期54-57,共4页Journal of Hebei Normal University：Natural Science

基　　金：河北省自然科学基金资助项目(102137)

摘　　要：使用同步均方误差ε最小化的方法得到变化的耦合参数数列,以此变化耦合参数数列来实现存在噪声的系统之间的同步控制.并以2个二维logistic映象为例进行了同步控制的数值模拟.The problem of two identical chaotic systems with noise is investigated in this article. The instantaneous mean square error（ ε ） is analyzed based on the Jaeobian equation of the response system. A synchronization scheme is proposed here,and the time-varying coupling parameter sequence used in this new scheme is obtained by minimizing the instantaneous ε. Numerical simulation shows that two 2-D logistic map reach the state of synchronization with the time-varying synchronization method.

关 键 词：混沌同步 二维logistic映象 变耦合参数法 

分 类 号：O414.22[理学—理论物理]