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
来源：
CHAOS | 2012年 / 22卷 / 04期
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
  • [1] Synchronization in Networks of Diffusively Time-Delay Coupled (Semi-)Passive Systems
    Steur, Erik
    Nijmeijer, Henk
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2011, 58 (06) : 1358 - 1371
  • [2] Networks of diffusively time-delay coupled systems: Conditions for synchronization and its relation to the network topology
    Steur, Erik
    Michiels, Wim
    Huijberts, Henri
    Nijmeijer, Henk
    PHYSICA D-NONLINEAR PHENOMENA, 2014, 277 : 22 - 39
  • [3] Synchronization and Partial Synchronization Experiments with Networks of Time-Delay Coupled Hindmarsh-Rose Neurons
    Steur, Erik
    Murguia, Carlos
    Fey, Rob H. B.
    Nijmeijer, Henk
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2016, 26 (07):
  • [4] Amplitude Death in Extended Time-Delay Coupled Oscillator Networks
    Mizukami, Shinsuke
    Konishi, Keiji
    Yoshida, Koki
    Sugitani, Yoshiki
    Hara, Naoyuki
    IEEE ACCESS, 2025, 13 : 12666 - 12675
  • [5] Delay-independent Synchronization in Networks of Time-delay Coupled Systems with Uncertainties
    Miyamoto, Kota
    Ryono, Koki
    Oguchi, Toshiki
    IFAC PAPERSONLINE, 2018, 51 (33): : 211 - 216
  • [6] Partial synchronization in diffusively coupled time-continuous systems
    Yanchuk, S
    Maistrenko, Y
    Mosekilde, E
    PROCEEDINGS OF THE 2001 WORKSHOP ON NONLINEAR DYNAMICS OF ELECTRONIC SYSTEMS, 2001, : 193 - 196
  • [7] Synchronization of delay-coupled oscillator networks
    Klinshov, V. V.
    Nekorkin, V. I.
    PHYSICS-USPEKHI, 2013, 56 (12) : 1217 - 1229
  • [8] Exponential synchronization for arrays of coupled neural networks with time-delay couplings
    Tao Li
    Ting Wang
    Ai-guo Song
    Shu-min Fei
    International Journal of Control, Automation and Systems, 2011, 9 : 187 - 196
  • [9] Synchronization of Randomly Coupled Neural Networks With Markovian Jumping and Time-Delay
    Yang, Xinsong
    Cao, Jinde
    Lu, Jianquan
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2013, 60 (02) : 363 - 376
  • [10] Synchronization in small networks of time-delay coupled chaotic diode lasers
    Aviad, Y.
    Reidler, I.
    Zigzag, M.
    Rosenbluh, M.
    Kanter, I.
    OPTICS EXPRESS, 2012, 20 (04): : 4352 - 4359
12345