Amplitude death induced by dynamic coupling

被引：122

作者：

Konishi, K ^{[1
]}

机构：

[1] Future Univ Hakodate, Dept Complex Syst, Hakodate, Hokkaido 0418655, Japan

来源：

PHYSICAL REVIEW E | 2003年 / 68卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.68.067202

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：

The present paper shows that dynamic coupling induces amplitude death in coupled identical oscillators. For a simple limit-cycle oscillator, our theoretical analysis provides the necessary and sufficient condition for amplitude death. Furthermore, we guarantee that amplitude death never occurs, if each oscillator satisfies the odd number property that is known in the field of delayed-feedback control of chaos.

引用

页数：4

共 19 条

[1] AMPLITUDE RESPONSE OF COUPLED OSCILLATORS [J].

ARONSON, DG ;

ERMENTROUT, GB ;

KOPELL, N .

PHYSICA D, 1990, 41 (03) :403-449

[2] ON THE STABILITY OF COUPLED CHEMICAL OSCILLATORS [J].

BARELI, K .

PHYSICA D, 1985, 14 (02) :242-252

[3] Shaping a distributed-RC line to minimize Elmore delay [J].

Fishburn, JP ;

Schevon, CA .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1995, 42 (12) :1020-1022

[4] Experimental observation of the amplitude death effect in two coupled nonlinear oscillators [J].

Herrero, R ;

Figueras, M ;

Rius, J ;

Pi, F ;

Orriols, G .

PHYSICAL REVIEW LETTERS, 2000, 84 (23) :5312-5315

[5] Time-delay-induced stabilization of coupled discrete-time systems [J].

Konishi, K .

PHYSICAL REVIEW E, 2003, 67 (01) :4

[6] Stability of extended delayed-feedback control for discrete-time chaotic systems [J].

Konishi, K ;

Ishii, M ;

Kokame, H .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (10) :1285-1288

[7]

Kuntsevich BF, 2001, PHYS REV E, V64, DOI 10.1103/PhysRevE.64.046221

[8]

Kuo BC, 2003, AUTOMATIC CONTROL SY

[9] AMPLITUDE DEATH IN AN ARRAY OF LIMIT-CYCLE OSCILLATORS [J].

MIROLLO, RE ;

STROGATZ, SH .

JOURNAL OF STATISTICAL PHYSICS, 1990, 60 (1-2) :245-262

[10] Limitation of generalized delayed feedback control [J].

Nakajima, H ;

Ueda, Y .

PHYSICA D, 1998, 111 (1-4) :143-150

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