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中国物理学会期刊

一种基于系统变量的线性和非线性变换实现混沌控制的方法

CSTR: 32037.14.aps.49.849

A METHOD OF CHAOS CONTROL BASED ON THE LINEAR AND NONLINEAR TRANSFORMATION OF SYSTEM VARIABLES

CSTR: 32037.14.aps.49.849
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  • 提出了一种通过系统变量的线性和非线性变换实现混沌控制的方法,以Henon映象和Lorenz系统作为两个典型的例子,验证了这种控制方法的有效性.结果表明,通过改变系统变量之间的线性变换矩阵,可以实现混沌系统中各种不稳定周期轨道的稳定控制.将这种方法推广到非线性(神经网络)变换,可以获得稳定的新的动力学行为.同时,从信息熵的角度,讨论了这种混沌控制方法的物理机制.

     

    In this paper,a method of chaos control based on the linear and nonlinear transformation of system variables is proposed.The Henon map and Lorenz system are taken as two typical examples to demonstrate the effectiveness of this method.The results show that the UPOs embedded in the chaotic system can be stably controlled by changing the linear transformation matrix of system variables.We can obtain lots of new stable dynamical behavior when this method is extended to nonlinear transformation.At the same time,we discuss the physical mechanism of this chaos control method from point of view of the information entropy.

     

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