Partial synchronization in diffusively time-delay coupled oscillator networks

被引:23
|
作者
Steur, Erik [1 ,2 ]
Oguchi, Toshiki [3 ]
van Leeuwen, Cees [1 ]
Nijmeijer, Henk [2 ]
机构
[1] Katholieke Univ Leuven, Fac Psychol & Educ Sci, Res Grp Expt Psychol, Lab Perceptual Dynam, B-3000 Louvain, Belgium
[2] Eindhoven Univ Technol, Dept Mech Engn, NL-5600 MB Eindhoven, Netherlands
[3] Tokyo Metropolitan Univ, Grad Sch Sci & Engn, Dept Engn Mech, Hachioji, Tokyo 1920397, Japan
关键词
COMPLEX DYNAMICAL NETWORKS; NONLINEAR-SYSTEMS; INTERNAL SYMMETRY; SPIKING NEURONS; GAP-JUNCTIONS; STABILITY; CELLS; STABILIZATION; PASSIVITY; DESIGN;
D O I
10.1063/1.4771665
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study networks of diffusively time-delay coupled oscillatory units and we show that networks with certain symmetries can exhibit a form of incomplete synchronization called partial synchronization. We present conditions for the existence and stability of partial synchronization modes in networks of oscillatory units that satisfy a semipassivity property and have convergent internal dynamics. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4771665]
引用
收藏
页数:17
相关论文
共 50 条
  • [11] Exponential Synchronization for Arrays of Coupled Neural Networks with Time-delay Couplings
    Li, Tao
    Wang, Ting
    Song, Ai-guo
    Fei, Shu-min
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2011, 9 (01) : 187 - 196
  • [12] Synchronization of time-delay coupled pulse oscillators
    Klinshov, V. V.
    Nekorkin, V. I.
    CHAOS SOLITONS & FRACTALS, 2011, 44 (1-3) : 98 - 107
  • [13] Synchronization threshold of a coupled time-delay system
    Zhou, Shangbo
    Li, Hua
    Wu, Zhongfu
    PHYSICAL REVIEW E, 2007, 75 (03):
  • [14] Finite-time synchronization for coupled neural networks with time-delay jumping coupling
    Chen, Hui
    Wang, Yiman
    Liu, Chang
    Xiao, Zijing
    Tao, Jie
    ISA TRANSACTIONS, 2024, 147 : 13 - 21
  • [15] Synchronization of Nonlinear Coupled Networks with Time-delay via Distributed Impulsive Control
    Zhang Hao
    Feng Gang
    Yan Huaicheng
    Chen Qijun
    2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 1304 - 1309
  • [16] Synchronization Analysis of Coupled Stochastic Neural Networks with On–Off Coupling and Time-Delay
    Guan Wang
    Yi Shen
    Quan Yin
    Neural Processing Letters, 2015, 42 : 501 - 515
  • [17] Synchronization of Time-Delay Coupled Neural Networks With Stabilizing Delayed Impulsive Control
    Zhang, Lingzhong
    Lu, Jianquan
    Liu, Fengyi
    Lou, Jungang
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2023, 35 (12) : 1 - 8
  • [18] Delay-dependent synchronization for non-diffusively coupled time-varying complex dynamical networks
    Zhang, Lili
    Wang, Yinhe
    Huang, Yuanyuan
    Chen, Xuesong
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 259 : 510 - 522
  • [19] Delay Partial Synchronization of Mutual Delay Coupled Boolean Networks
    Wei, Qiang
    Xie, Cheng-jun
    Kou, Xu-ri
    Shen, Wei
    MEASUREMENT & CONTROL, 2020, 53 (5-6): : 870 - 875
  • [20] Exact synchronization bound for coupled time-delay systems
    Senthilkumar, D. V.
    Pesquera, Luis
    Banerjee, Santo
    Ortin, Silvia
    Kurths, J.
    PHYSICAL REVIEW E, 2013, 87 (04):