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

Luo Xiao-Shu, Liu Mu-Ren, Fang Jingqing, KONG LIN-JIANG, Tang Guo-Ning, (1)广西师范大学物理与电子科学系,桂林 541004; (2)中国原子能科学研究院,北京 102413 · Acta Physica Sinica · 2000

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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