CONTINUOUS CONTROL OF CHAOS BY SELF-CONTROLLING FEEDBACK

被引：2762

作者：

PYRAGAS, K

机构：

[1] Institute for Theoretical Physics, Technical University of Berlin

来源：

PHYSICS LETTERS A | 1992年 / 170卷 / 06期

关键词：

D O I：

10.1016/0375-9601(92)90745-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Two methods of chaos control with a small time continuous perturbation are proposed. The stabilization of unstable periodic orbits of a chaotic system is achieved either by combined feedback with the use of a specially designed external oscillator, or by delayed self-controlling feedback without using of any external force. Both methods do not require an a priori analytical knowledge of the system dynamics and are applicable to experiment. The delayed feedback control does not require any computer analyses of the system and can be particularly convenient for an experimental application.

引用

收藏

页码：421 / 428

页数：8

相关论文

共 18 条

[1] TAMING CHAOTIC DYNAMICS WITH WEAK PERIODIC PERTURBATIONS [J].

BRAIMAN, Y ;

GOLDHIRSCH, I .

PHYSICAL REVIEW LETTERS, 1991, 66 (20) :2545-2548

[2] EXPERIMENTAL-OBSERVATION OF CRISIS-INDUCED INTERMITTENCY AND ITS CRITICAL EXPONENT [J].

DITTO, WL ;

RAUSEO, S ;

CAWLEY, R ;

GREBOGI, C ;

HSU, GH ;

KOSTELICH, E ;

OTT, E ;

SAVAGE, HT ;

SEGNAN, R ;

SPANO, ML ;

YORKE, JA .

PHYSICAL REVIEW LETTERS, 1989, 63 (09) :923-926

[3] EXPERIMENTAL CONTROL OF CHAOS [J].

DITTO, WL ;

RAUSEO, SN ;

SPANO, ML .

PHYSICAL REVIEW LETTERS, 1990, 65 (26) :3211-3214

[4]

Fabrikant A, 1979, SOV J EXP THEOR PHYS, V50, P311

[5] ON THE ATTRACTING SET FOR DUFFING EQUATION .2. A GEOMETRICAL MODEL FOR MODERATE FORCE AND DAMPING [J].

HOLMES, P ;

WHITLEY, D .

PHYSICA D, 1983, 7 (1-3) :111-123

[6] RESONANT STIMULATION AND CONTROL OF NONLINEAR OSCILLATORS [J].

HUBLER, A ;

LUSCHER, E .

NATURWISSENSCHAFTEN, 1989, 76 (02) :67-69

[7] STABILIZING HIGH-PERIOD ORBITS IN A CHAOTIC SYSTEM - THE DIODE RESONATOR [J].

HUNT, ER .

PHYSICAL REVIEW LETTERS, 1991, 67 (15) :1953-1955

[8]

HUNT ER, 1992, PHYS REV LETT, V68, P1259

[9] CHARACTERIZATION OF AN EXPERIMENTAL STRANGE ATTRACTOR BY PERIODIC-ORBITS [J].

LATHROP, DP ;

KOSTELICH, EJ .

PHYSICAL REVIEW A, 1989, 40 (07) :4028-4031

[10] SUPPRESSION OF CHAOS BY RESONANT PARAMETRIC PERTURBATIONS [J].

LIMA, R ;

PETTINI, M .

PHYSICAL REVIEW A, 1990, 41 (02) :726-733