Synchronization in a population of globally coupled chaotic oscillators

被引:196
作者
Pikovsky, AS [1 ]
Rosenblum, MG [1 ]
Kurths, J [1 ]
机构
[1] RUSSIAN ACAD SCI, MECH ENGN RES INST, MOSCOW, RUSSIA
来源
EUROPHYSICS LETTERS | 1996年 / 34卷 / 03期
关键词
D O I
10.1209/epl/i1996-00433-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We demonstrate synchronization transition in a large ensemble of non-identical chaotic oscillators, globally coupled via the mean field. We show that this coherent behaviour is due to synchronization of phases of these oscillators, while their amplitudes remain chaotic. Two types of transition, depending on the phase coherence properties of the individual systems, are described.
引用
收藏
页码:165 / 170
页数:6
相关论文
共 28 条
[1]   NONLINEAR STABILITY OF INCOHERENCE AND COLLECTIVE SYNCHRONIZATION IN A POPULATION OF COUPLED OSCILLATORS [J].
BONILLA, LL ;
NEU, JC ;
SPIGLER, R .
JOURNAL OF STATISTICAL PHYSICS, 1992, 67 (1-2) :313-380
[2]   LONG-RANGE ORDER WITH LOCAL CHAOS IN LATTICES OF DIFFUSIVELY COUPLED ODES [J].
BRUNNET, L ;
CHATE, H ;
MANNEVILLE, P .
PHYSICA D, 1994, 78 (3-4) :141-154
[3]   POWER SPECTRAL-ANALYSIS OF A DYNAMICAL SYSTEM [J].
CRUTCHFIELD, J ;
FARMER, D ;
PACKARD, N ;
SHAW, R ;
JONES, G ;
DONNELLY, RJ .
PHYSICS LETTERS A, 1980, 76 (01) :1-4
[4]   DISCRETE-TIME POPULATION-DYNAMICS OF INTERACTING SELF-OSCILLATORS [J].
DAIDO, H .
PROGRESS OF THEORETICAL PHYSICS, 1986, 75 (06) :1460-1463
[5]   INTRINSIC FLUCTUATIONS AND A PHASE-TRANSITION IN A CLASS OF LARGE POPULATIONS OF INTERACTING OSCILLATORS [J].
DAIDO, H .
JOURNAL OF STATISTICAL PHYSICS, 1990, 60 (5-6) :753-800
[6]   STATISTICAL-MECHANICS OF A NON-LINEAR STOCHASTIC-MODEL [J].
DESAI, RC ;
ZWANZIG, R .
JOURNAL OF STATISTICAL PHYSICS, 1978, 19 (01) :1-24
[7]   CLUSTERING IN GLOBALLY COUPLED PHASE OSCILLATORS [J].
GOLOMB, D ;
HANSEL, D ;
SHRAIMAN, B ;
SOMPOLINSKY, H .
PHYSICAL REVIEW A, 1992, 45 (06) :3516-3530
[8]   PHASE LOCKING OF JOSEPHSON-JUNCTION SERIES ARRAYS [J].
HADLEY, P ;
BEASLEY, MR ;
WIESENFELD, K .
PHYSICAL REVIEW B, 1988, 38 (13) :8712-8719
[9]   DYNAMICS OF THE GLOBALLY COUPLED COMPLEX GINZBURG-LANDAU EQUATION [J].
HAKIM, V ;
RAPPEL, WJ .
PHYSICAL REVIEW A, 1992, 46 (12) :R7347-R7350
[10]   DEPHASING AND BURSTING IN COUPLED NEURAL OSCILLATORS [J].
HAN, SK ;
KURRER, C ;
KURAMOTO, Y .
PHYSICAL REVIEW LETTERS, 1995, 75 (17) :3190-3193