FROM CHAOS TO ORDER - PERSPECTIVES AND METHODOLOGIES IN CONTROLLING CHAOTIC NONLINEAR DYNAMICAL SYSTEMS

被引：277
作者：
Chen, Guanrong [1 ]
Dong, Xiaoning [1 ]
机构：
[1] Univ Houston, Dept Elect Engn, Houston, TX 77204 USA
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1993年 / 3卷 / 06期
关键词：
D O I：
10.1142/S0218127493001112
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Controlling (or ordering) chaos is a new concept, which has recently drawn much attention from the communities of engineering, physics, chemistry, biomedical sciences and mathematics. This paper offers an overview of the different interpretations and approaches in the investigation of controlling chaos for various nonlinear dynamical systems. Relevant historical background is provided, several successful techniques are described and analyzed with necessary verifications, and some realistic yet instructive examples are included. The paper also aims at promoting more efforts to be devoted to this challenging and promising new direction of research, as well as its potential applications in nonlinear systems science and engineering.
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收藏
页码：1363 / 1409
页数：47
相关论文
共 120 条
[1]  
ABED EH, 1992, IEEE P 31 IEEE C DEC, P2119
[2]  
ALEKSEEV VV, 1987, SOV PHYS DOKL, V32, P1346
[3]   CONTROLLING CHAOS IN SPIN-WAVE INSTABILITIES [J].
AZEVEDO, A ;
REZENDE, SM .
PHYSICAL REVIEW LETTERS, 1991, 66 (10) :1342-1345
[4]   CHAOTIC MOTION IN NON-LINEAR FEEDBACK-SYSTEMS [J].
BAILLIEUL, J ;
BROCKETT, RW ;
WASHBURN, RB .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1980, 27 (11) :990-997
[5]  
Berreby D., 1993, DISCOVER MAR, P76
[6]  
Bielawski S., 1992, P NONL DYN OPT SYS A, P22
[7]   TAMING CHAOTIC DYNAMICS WITH WEAK PERIODIC PERTURBATIONS [J].
BRAIMAN, Y ;
GOLDHIRSCH, I .
PHYSICAL REVIEW LETTERS, 1991, 66 (20) :2545-2548
[8]   NOISE IN THE MODELING AND CONTROL OF DYNAMIC-SYSTEMS [J].
BREEDEN, JL ;
DINKELACKER, F ;
HUBLER, A .
PHYSICAL REVIEW A, 1990, 42 (10) :5827-5836
[9]  
BROCKETT RW, 1982, IEEE P CONTR DEC C, P932
[10]  
Carrol T. L., 1993, PHYS REV A IN PRESS
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