Conditions for common-noise-induced synchronization in time-delay systems

被引:12
作者
Yoshimura, Kazuyuki [1 ]
Muramatsu, Jun [1 ]
Davis, Peter [1 ]
机构
[1] NTT Corp, NTT Commun Sci Labs, Seika, Kyoto 6190237, Japan
关键词
Time-delay systems; Common noise; Synchronization; Conditions;
D O I
10.1016/j.physd.2008.05.013
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We studied synchronization induced by a common external noise in scalar time-delay systems. We have found a set of sufficient conditions for the synchronization. This set of conditions shows that the synchronization occurs in a wide class of time-delay systems. Numerical evidence for the analytically obtained conditions is also presented. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:3146 / 3152
页数:7
相关论文
共 25 条
[1]  
[Anonymous], 1992, ANAL POPULATION ECOL
[2]   Transition to stochastic synchronization in spatially extended systems [J].
Baroni, L ;
Livi, R ;
Torcini, A .
PHYSICAL REVIEW E, 2001, 63 (03) :362261-362261
[3]   Synchronization of chaotic semiconductor laser dynamics on subnanosecond time scales and its potential for chaos communication [J].
Fischer, I ;
Liu, Y ;
Davis, P .
PHYSICAL REVIEW A, 2000, 62 (01) :4
[4]   Optical cryptosystem based on synchronization of hyperchaos generated by a delayed feedback tunable laser diode [J].
Goedgebuer, JP ;
Larger, L ;
Porte, H .
PHYSICAL REVIEW LETTERS, 1998, 80 (10) :2249-2252
[5]   Synchronization and desynchronization of self-sustained oscillators by common noise [J].
Goldobin, DS ;
Pikovsky, A .
PHYSICAL REVIEW E, 2005, 71 (04)
[6]   Synchronization of self-sustained oscillators by common white noise [J].
Goldobin, DS ;
Pikovsky, AS .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 351 (01) :126-132
[7]   Noise and determinism in synchronized sheep dynamics [J].
Grenfell, BT ;
Wilson, K ;
Finkenstädt, BF ;
Coulson, TN ;
Murray, S ;
Albon, SD ;
Pemberton, JM ;
Clutton-Brock, TH ;
Crawley, MJ .
NATURE, 1998, 394 (6694) :674-677
[8]   MULTIPLE-VALUED STATIONARY STATE AND ITS INSTABILITY OF THE TRANSMITTED LIGHT BY A RING CAVITY SYSTEM [J].
IKEDA, K .
OPTICS COMMUNICATIONS, 1979, 30 (02) :257-261
[9]   OPTICAL TURBULENCE - CHAOTIC BEHAVIOR OF TRANSMITTED LIGHT FROM A RING CAVITY [J].
IKEDA, K ;
DAIDO, H ;
AKIMOTO, O .
PHYSICAL REVIEW LETTERS, 1980, 45 (09) :709-712
[10]  
Krasovskii N.N., 1963, Stability ofMotion