Adaptive recognition and control of chaos

被引:21
作者
Boccaletti, S [1 ]
Arecchi, FT [1 ]
机构
[1] UNIV FLORENCE,DEPT PHYS,I-50125 FLORENCE,ITALY
来源
PHYSICA D | 1996年 / 96卷 / 1-4期
关键词
D O I
10.1016/0167-2789(96)00010-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Exploiting the information provided by the local variation rates of a dynamical system, we show how an adaptive algorithm is able to recognize and stabilize the unstable periodic orbits embedded in a chaotic attractor, through additive corrections to the dynamics. The relative weight of each correction is adjusted upon the size of the local expansion rate. Application of this method to chaotic Lorenz and four dimensional Roessler systems is discussed.
引用
收藏
页码:9 / 16
页数:8
相关论文
共 31 条
[1]   ADAPTIVE RECOGNITION OF A CHAOTIC DYNAMICS [J].
ARECCHI, FT ;
BASTI, G ;
BOCCALETTI, S ;
PERRONE, AL .
EUROPHYSICS LETTERS, 1994, 26 (05) :327-332
[2]   EXPLORING CHAOTIC MOTION THROUGH PERIODIC-ORBITS [J].
AUERBACH, D ;
CVITANOVIC, P ;
ECKMANN, JP ;
GUNARATNE, G ;
PROCACCIA, I .
PHYSICAL REVIEW LETTERS, 1987, 58 (23) :2387-2389
[3]   CONTROLLING CHAOS IN SPIN-WAVE INSTABILITIES [J].
AZEVEDO, A ;
REZENDE, SM .
PHYSICAL REVIEW LETTERS, 1991, 66 (10) :1342-1345
[4]  
BASTI G, 1992, P INT S INF PHYS ISK, P122
[5]   ADAPTIVE-CONTROL OF CHAOS [J].
BOCCALETTI, S ;
ARECCHI, FT .
EUROPHYSICS LETTERS, 1995, 31 (03) :127-132
[6]   TAMING CHAOTIC DYNAMICS WITH WEAK PERIODIC PERTURBATIONS [J].
BRAIMAN, Y ;
GOLDHIRSCH, I .
PHYSICAL REVIEW LETTERS, 1991, 66 (20) :2545-2548
[7]   TOPOLOGICAL AND METRIC PROPERTIES OF HENON-TYPE STRANGE ATTRACTORS [J].
CVITANOVIC, P ;
GUNARATNE, GH ;
PROCACCIA, I .
PHYSICAL REVIEW A, 1988, 38 (03) :1503-1520
[8]   TRANSITION FROM CHAOTIC TO NONCHAOTIC BEHAVIOR IN RANDOMLY DRIVEN SYSTEMS [J].
FAHY, S ;
HAMANN, DR .
PHYSICAL REVIEW LETTERS, 1992, 69 (05) :761-764
[9]   NONLINEAR NEURAL NETWORKS - PRINCIPLES, MECHANISMS, AND ARCHITECTURES [J].
GROSSBERG, S .
NEURAL NETWORKS, 1988, 1 (01) :17-61
[10]   CHAOS BEYOND ONSET - A COMPARISON OF THEORY AND EXPERIMENT [J].
GUNARATNE, GH ;
LINSAY, PS ;
VINSON, MJ .
PHYSICAL REVIEW LETTERS, 1989, 63 (01) :1-4