CONTROLLING HYPERCHAOS IN A MULTIMODE LASER MODEL

被引：34

作者：

COLET, P ^{[1
]}

ROY, R ^{[1
]}

WIESENFELD, K ^{[1
]}

机构：

[1] UNIV ILLES BALEARS, DEPT FIS, E-07071 PALMA DE MALLORCA, SPAIN

来源：

PHYSICAL REVIEW E | 1994年 / 50卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.50.3453

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We show that it is possible to stabilize remnants of periodic orbits in a hyperchaotic system (with more than one positive Lyapunov exponent) using a single feedback parameter. Numerical simulations of a multimode laser with an intracavity frequency doubling crystal using occasional proportional feedback indicate that the controlled periodic orbits are locally unstable in only one coordinate, even though the system has three positive Lyapunov exponents in this parameter regime. This situation should be common in dynamical systems of the coupled oscillator type with many degrees of freedom. © 1994 The American Physical Society.

引用

页码：3453 / 3457

页数：5

共 26 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] LARGE-AMPLITUDE FLUCTUATIONS DUE TO LONGITUDINAL MODE-COUPLING IN DIODE-PUMPED INTRACAVITY-DOUBLED ND-YAG LASERS [J].

BAER, T .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1986, 3 (09) :1175-1180

[3] Chaos in a multimode solid-state laser system [J].

Bracikowski, C. ;

Roy, Rajarshi .

CHAOS, 1991, 1 (01) :49-64

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

BRAIMAN, Y ;

GOLDHIRSCH, I .

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

[5] 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

[6] CLUSTERING IN GLOBALLY COUPLED PHASE OSCILLATORS [J].

GOLOMB, D ;

HANSEL, D ;

SHRAIMAN, B ;

SOMPOLINSKY, H .

PHYSICAL REVIEW A, 1992, 45 (06) :3516-3530

[7] PHASE LOCKING OF JOSEPHSON-JUNCTION SERIES ARRAYS [J].

HADLEY, P ;

BEASLEY, MR ;

WIESENFELD, K .

PHYSICAL REVIEW B, 1988, 38 (13) :8712-8719

[8]

HILBORN RC, 1994, CHAOS NONLINEAR DYNA, P174

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

HUNT, ER .

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

[10] CLUSTERING, CODING, SWITCHING, HIERARCHICAL ORDERING, AND CONTROL IN A NETWORK OF CHAOTIC ELEMENTS [J].

KANEKO, K .

PHYSICA D, 1990, 41 (02) :137-172

← 1 2 3 →