USING CHAOS TO TARGET STATIONARY STATES OF FLOWS

被引：52

作者：

SHINBROT, T

GREBOGI, C

OTT, E

YORKE, JA

机构：

[1] UNIV MARYLAND,DEPT PHYS,COLL PK,MD 20742

[2] UNIV MARYLAND,DEPT MATH,COLL PK,MD 20742

[3] UNIV MARYLAND,DEPT ELECT ENGN,COLL PK,MD 20742

来源：

PHYSICS LETTERS A | 1992年 / 169卷 / 05期

关键词：

D O I：

10.1016/0375-9601(92)90239-I

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The sensitivity of chaotic systems to small perturbations is used to direct trajectories to a small neighborhood of stationary states of three-dimensional chaotic flows. For example, in one of the cases studied, a neighborhood which would typically take 10(10) time units to reach without control can be reached using our technique in only about 10 of the same time units.

引用

页码：349 / 354

页数：6

共 9 条

[1] OSCILLATORS WITH CHAOTIC BEHAVIOR - AN ILLUSTRATION OF A THEOREM BY SHILNIKOV [J].

ARNEODO, A ;

COULLET, P ;

TRESSER, C .

JOURNAL OF STATISTICAL PHYSICS, 1982, 27 (01) :171-182

[2]

LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO

[3]

[4]

MOSS F, 1989, NOISE NONLINEAR DYNA, V1, P267

[5]

Ott E., 1990, Chaos/Xaoc. Soviet-American Perspectives on Nonlinear Science, P153

[6] USING CHAOS TO DIRECT ORBITS TO TARGETS IN SYSTEMS DESCRIBABLE BY A ONE-DIMENSIONAL MAP [J].

SHINBROT, T ;

OTT, E ;

GREBOGI, C ;

YORKE, JA .

PHYSICAL REVIEW A, 1992, 45 (06) :4165-4168

[7] USING CHAOS TO DIRECT TRAJECTORIES TO TARGETS [J].

SHINBROT, T ;

OTT, E ;

GREBOGI, C ;

YORKE, JA .

PHYSICAL REVIEW LETTERS, 1990, 65 (26) :3215-3218

[8]

SHINBROT T, IN PRESS PHYS REV LE

[9]

SPARROW C, 1982, LORENZ EQUATIONS BIF, P164

← 1 →