Bonhoeffer-van der Pol方程中双吸引子的混沌控制  

CONTROL OF DOUBLE CHAOTIC ATTRACTORS IN BONHOEFFER-VAN DER POL EQUATION

作　　者：梁建术[1] 陈予恕[2] 杨彦锡[1] 

机构地区：[1]河北科技大学机械电子工程学院,石家庄050054 [2]天津大学机械工程学院,天津300072

出　　处：《机械强度》2005年第6期740-743,共4页Journal of Mechanical Strength

基　　金：国家自然科学重大基金项目资助(19990510);河北科技大学校立基金资助(2003XL47)

摘　　要：基于延时反馈混沌控制方法和相空间压缩法,提出一种改进的延时反馈混沌控制方法。该方法不仅可用于单个吸引子混沌系统的控制,而且由于克服了Pyragas控制方法的不能简便地将混沌系统稳定到嵌入在不同混沌吸引子内周期轨道的不足,也可以用于多个混沌吸引子混沌系统的控制。以Bonhoeffer-van der Pol系统为例,数值验证此改进方法用于两个混沌吸引子系统控制的有效性,结果表明,在延时反馈控制中增加适当的相空间限制器,可以快捷地将系统稳定在期望的周期轨道上。According to delayed feedback control method and phase space compression method, an improved method of delayed feedback scheme is proposed, which can be applied to control chaostic systems not only with one atteactor,but also with mutil-attractors, because of it overcomes Pyragas＇ s shortcoming of no stabilizing the chaotic system into a dirsed orbit embeded in different attractor expediently. Take Bonhoeffer-van der Pol system as example, validity of the method is verified numerically for controlling two-attractors. It is indicated that the improved technique can stabilize a chaotic system into a desired periodic orbit simply, by adding an appropriate phase space limiter to the delayed feedback control.

关 键 词：延时自反馈 混沌控制 限制器 吸引子 

分 类 号：O322[理学—一般力学与力学基础]