一个新系统中混沌吸引子的形成机制及其混沌控制  

Forming mechanism of chaotic attractor and controlling chaos in a new chaotic system

作　　者：豆福全[1] 孙建安[1] 段文山[1] 吕克璞[1] 

机构地区：[1]西北师范大学物理与电子工程学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2008年第1期34-37,共4页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(10575082);甘肃省自然科学基金资助项目(3ZS061-A25-014)

摘　　要：分析了一个新混沌系统中混沌吸引子的形成机制,研究表明这类混沌吸引子是由2个简单的混沌吸引子通过一个镜像映射相互融合而成的复合结构.利用线性负反馈法将混沌控制到平衡点,根据Routh-Hurwitz稳定性条件获得了达到控制目标时反馈参数所满足的条件.基于Mathematica程序,用数值方法验证了以上方法的有效性.The forming mechanism of a new chaotic attractor is investigated, the results show that the new chaotic attractor has a compound structure, which is obtained by merging together two simple attractors after performing a mirror operation. Furthermore, a linear feedback method is used to suppress chaos to unstable equilibrium. The Routh-Hurwitz criterion is applied to study the conditions of the asymptotic stability of the controlled chaotic system. Based on Mathematica program, numerical simulations are presented to demonstrate the effectiveness of these methods.

关 键 词：混沌系统 形成机制 负反馈方法 混沌控制 

分 类 号：O415.5[理学—理论物理]