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 50 条
  • [1] Characteristics and synchronization of time-delay systems driven by a common noise
    Senthilkumar, D. V.
    Kurths, J.
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2010, 187 (01): : 87 - 93
  • [2] Characteristics and synchronization of time-delay systems driven by a common noise
    D.V. Senthilkumar
    J. Kurths
    The European Physical Journal Special Topics, 2010, 187 : 87 - 93
  • [3] Synchronization of time-delay systems
    Phys Rev E., 4 (R4072):
  • [4] Synchronization of time-delay systems
    Bunner, MJ
    Just, W
    PHYSICAL REVIEW E, 1998, 58 (04) : R4072 - R4075
  • [5] Conditional Lyapunov exponent depending on spectrum of input noise in common-noise-induced synchronization
    Goto, Shin-itiro
    Yoshimura, Kazuyuki
    Davis, Peter
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2008, E91A (09) : 2535 - 2539
  • [6] Phase synchronization in time-delay systems
    Senthilkumar, D. V.
    Lakshmanan, M.
    Kurths, J.
    PHYSICAL REVIEW E, 2006, 74 (03)
  • [7] Synchronization of Time-Delay Chaotic System in Presence of Noise
    Min Lei
    Hai-peng Peng
    Chun-yu Yang
    Li-xiang Li
    International Journal of Computational Intelligence Systems, 2012, 5 : 834 - 840
  • [8] Synchronization of Time-Delay Chaotic System in Presence of Noise
    Lei, Min
    Peng, Hai-peng
    Yang, Chun-yu
    Li, Li-xiang
    INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 2012, 5 (05): : 834 - 840
  • [9] Anticipation in the synchronization of chaotic time-delay systems
    Masoller, C
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2001, 295 (1-2) : 301 - 304