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

Luo Xiao-Shu | Zendy; Liu Mu-Ren | Zendy; Fang Jingqing | Zendy; KONG LIN-JIANG | Zendy; Tang Guo-Ning | Zendy

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

Author(s) -

Luo Xiao-Shu,

Liu Mu-Ren,

Fang Jingqing,

KONG LIN-JIANG,

Tang Guo-Ning

Publication year - 2000

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.49.849

Subject(s) - chaos (operating system) , transformation (genetics) , nonlinear system , control (management) , computer science , statistical physics , mathematics , control theory (sociology) , physics , quantum mechanics , artificial intelligence , biochemistry , chemistry , computer security , gene

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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