STEERING DYNAMICAL TRAJECTORIES TO TARGET A DESIRED STATE

被引：14

作者：

XU, DL

BISHOP, SR

机构：

[1] Centre for Nonlinear Dynamics, University College London, London WCIE 6BT, Civil Engineering Building, Gower St.

来源：

CHAOS SOLITONS & FRACTALS | 1994年 / 4卷 / 10期

关键词：

D O I：

10.1016/0960-0779(94)90008-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper describes a method that can direct a chaotic dynamical system to achieve a desired state by adjusting parameters within an optimal control process. The well-known discrete-time Henon system is chosen to illustrate the method which can steer a chaotic trajectory towards a stable fixed point, force a stable fixed point into a chaotic attractor, or switch from one chaotic attractor into another chaotic attractor.

引用

页码：1931 / 1942

页数：12

共 16 条

[1] CONTROLLING CHAOS IN HIGH DIMENSIONAL SYSTEMS [J].

AUERBACH, D ;

GREBOGI, C ;

OTT, E ;

YORKE, JA .

PHYSICAL REVIEW LETTERS, 1992, 69 (24) :3479-3482

[2]

Chen G., 1992, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, V2, P407, DOI 10.1142/S0218127492000392

[3] EXPERIMENTAL CONTROL OF CHAOS [J].

DITTO, WL ;

RAUSEO, SN ;

SPANO, ML .

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

[4] TRACKING UNSTABLE STEADY-STATES - EXTENDING THE STABILITY REGIME OF A MULTIMODE LASER SYSTEM [J].

GILLS, Z ;

IWATA, C ;

ROY, R ;

SCHWARTZ, IB ;

TRIANDAF, I .

PHYSICAL REVIEW LETTERS, 1992, 69 (22) :3169-3172

[5]

Guckenheimer J., 2013, APPL MATH SCI, DOI 10.1007/978-1-4612- 1140-2

[6] HIGHER-DIMENSIONAL TARGETING [J].

KOSTELICH, EJ ;

GREBOGI, C ;

OTT, E ;

YORKE, JA .

PHYSICAL REVIEW E, 1993, 47 (01) :305-310

[7] SYNCHRONIZATION OF CHAOTIC TRAJECTORIES USING CONTROL [J].

LAI, YC ;

GREBOGI, C .

PHYSICAL REVIEW E, 1993, 47 (04) :2357-2360

[8] CONTROLLING HAMILTONIAN CHAOS [J].

LAI, YC ;

DING, MZ ;

GREBOGI, C .

PHYSICAL REVIEW E, 1993, 47 (01) :86-92

[9] STABILIZING CHAOTIC-SCATTERING TRAJECTORIES USING CONTROL [J].

LAI, YC ;

TEL, T ;

GREBOGI, C .

PHYSICAL REVIEW E, 1993, 48 (02) :709-717

[10] CONTROLLING CHAOTIC DYNAMIC-SYSTEMS USING TIME-DELAY COORDINATES [J].

NITSCHE, G ;

DRESSLER, U .

PHYSICA D, 1992, 58 (1-4) :153-164

← 1 2 →