用常数周期脉冲方法控制耦合标准映象的混沌(英文)  

Controlling Chaos by the Constant Periodic Pulse Method in Two Coupled Standard Maps

作　　者：许海波[1] 王光瑞[1] 陈式刚[1] 

机构地区：[1]北京应用物理与计算数学研究所,北京100088

出　　处：《计算物理》2003年第1期31-36,共6页Chinese Journal of Computational Physics

基　　金：SupportedbytheSpecialFundsforMajorStateBasicResearchProjects;theNationalNaturalScienceFoundationofChinaunderGrantNo.1983 5 0 2 0and 1992 0 0 0 3 ;andScienceFoundationofChinaAcademyofEngineeringPhysicsunderGrantNo .2 0 0 0 0 44 0

摘　　要：将用常数周期脉冲方法控制保守系统的混沌运动的方法 ,用于控制高维系统耦合标准映象的混沌运动 ,计算了系统参数K =0 8和耦合常数 β =0 0 4的有限时间李雅普诺夫指数 ,考察了不同系统参数和耦合常数下的有限时间李雅普诺夫指数随迭代次数的的演化规律 .从各次迭代的有限时间收敛区选择满足期望动力学特征的轨道片段 ,施加适当的脉冲强度 ,找出其对应的周期不动点 ,从而得到期望的周期轨道 .A constant periodic pulse method for controlling chaos which makes the stable segment of the chaotic orbit form a closed orbit by acting periodic pulses on the system variables is proposed on the basis of the finite time Lyapunov exponents. This method is applied to a high dimensional system with two coupled standard maps. In addition to the results obtained in the low dimensional systems, the stabilized periodic orbit whose period is a multiple of the pulse interval is also found. This is one of the characters of the periodic pulse method. This method is robust under the presence of weak external noise.

关 键 词：常数周期脉冲方法 耦合标准映象 有限时间李雅普诺夫指数 混沌控制 加性噪声 保守系统 

分 类 号：O415.5[理学—理论物理]