A simple method for controlling chaos

被引：7

作者：

Flynn, C ^{[1
]}

Wilson, N ^{[1
]}

机构：

[1] Univ Coll Galway, Dept Phys, Galway, Ireland

来源：

AMERICAN JOURNAL OF PHYSICS | 1998年 / 66卷 / 08期

关键词：

D O I：

10.1119/1.18940

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

A new method for the control of chaos is presented. The procedure is based on proportional feedback and is very simple to implement. The presentation is pedagogical, and in order to illustrate the method, we apply it to the Henon map and to the Lorenz equations. Finally, we look at the stability of the control algorithm in the presence of noise. (C) 1998 American Association of Physics Teachers.

引用

页码：730 / 735

页数：6

共 11 条

[1] CONTROL OF THE CHAOTIC DRIVEN PENDULUM [J].

BAKER, GL .

AMERICAN JOURNAL OF PHYSICS, 1995, 63 (09) :832-838

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

BRAIMAN, Y ;

GOLDHIRSCH, I .

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

[3]

DEJONG ML, 1991, INTRO COMPUTATIONAL, P253

[4]

Ditto W. L., 1993, SCI AM, P62

[5] EXPERIMENTAL CONTROL OF CHAOS [J].

DITTO, WL ;

RAUSEO, SN ;

SPANO, ML .

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

[6]

HILBORN RC, 1994, CHAOS NONLINEAR DYNA, P80

[7]

ITO K, 1980, EARTH PLANET SC LETT, V51, P89

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

LIMA, R ;

PETTINI, M .

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

[9] CONTROLLING CHAOS [J].

OTT, E ;

GREBOGI, C ;

YORKE, JA .

PHYSICAL REVIEW LETTERS, 1990, 64 (11) :1196-1199

[10]

Rikitake T., 1958, Proc. Camb. Phil. Soc, V54, P89, DOI [10.1017/S0305004100033223, DOI 10.1017/S0305004100033223]

← 1 2 →