Transforming chaos to periodic oscillations

被引：6

作者：

Kociuba, G ^{[1
]}

Heckenberg, NR ^{[1
]}

White, AG ^{[1
]}

机构：

[1] Univ Queensland, Dept Phys, St Lucia, Qld, Australia

来源：

PHYSICAL REVIEW E | 2001年 / 64卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.64.056220

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 demonstrate that the dynamics of an autonomous chaotic class C laser can be controlled to a periodic state via external modulation of the pump. In the absence of modulation, above the chaos threshold, the laser exhibits Lorenz-like chaotic pulsations. The average amplitude and frequency of these pulsations depend on the pump power. We find that there exist parameter windows where modulation of the pump power extinguishes the chaos in favor of simpler periodic behavior. Moreover we find a number of locking ratios between the pump and laser output follow the Farey sequence.

引用

收藏

页数：8

相关论文

共 31 条

[1] FAREY TREE AND DEVILS STAIRCASE OF A MODULATED EXTERNAL-CAVITY SEMICONDUCTOR-LASER [J].

BAUMS, D ;

ELSASSER, W ;

GOBEL, EO .

PHYSICAL REVIEW LETTERS, 1989, 63 (02) :155-158

[2] LIMIT-CYCLES IN A FORCED LORENZ SYSTEM [J].

BHATTACHARJEE, JK ;

BANERJEE, K ;

CHOWDHURY, D ;

SARAVANAN, R ;

MANNA, S .

PHYSICS LETTERS A, 1984, 104 (01) :33-35

[3] CONTROLLING UNSTABLE PERIODIC-ORBITS BY A DELAYED CONTINUOUS FEEDBACK [J].

BIELAWSKI, S ;

DEROZIER, D ;

GLORIEUX, P .

PHYSICAL REVIEW E, 1994, 49 (02) :R971-R974

[4] EXPERIMENTAL CHARACTERIZATION OF UNSTABLE PERIODIC-ORBITS BY CONTROLLING CHAOS [J].

BIELAWSKI, S ;

DEROZIER, D ;

GLORIEUX, P .

PHYSICAL REVIEW A, 1993, 47 (04) :R2492-R2495

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

BRAIMAN, Y ;

GOLDHIRSCH, I .

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

[6] EXPERIMENTAL CONTROL OF CHAOS IN A LASER [J].

CIOFINI, M ;

MEUCCI, R ;

ARECCHI, FT .

PHYSICAL REVIEW E, 1995, 52 (01) :94-97

[7] Control of chaos in multimode solid state lasers by the use of small periodic perturbations [J].

Colet, P ;

Braiman, Y .

PHYSICAL REVIEW E, 1996, 53 (01) :200-206

[8] CONTROLLING CHAOS IN A DISCHARGE PLASMA [J].

DING, WX ;

SHE, HQ ;

HUANG, W ;

YU, CX .

PHYSICAL REVIEW LETTERS, 1994, 72 (01) :96-99

[9] Experimental control of single-mode laser chaos by using continuous, time-delayed feedback [J].

Dykstra, R ;

Tang, DY ;

Heckenberg, NR .

PHYSICAL REVIEW E, 1998, 57 (06) :6596-6598

[10] Experimentally tracking unstable steady states by large periodic modulation [J].

Dykstra, R ;

Rayner, A ;

Tang, DY ;

Heckenberg, NR .

PHYSICAL REVIEW E, 1998, 57 (01) :397-401

← 1 2 3 4 →