Dynamics of a Ring of Diffusively Coupled Lorenz Oscillators

被引:0
|
作者
Krešimir Josić
C. Eugene Wayne
机构
[1] Pennsylvania State University,Department of Mathematics
[2] Boston University,Department of Mathematics
[3] Boston University,Department of Mathematics
来源
关键词
chains of chaotic oscillators; chaotic synchronization; fixed states in lattices;
D O I
暂无
中图分类号
学科分类号
摘要
We study the dynamics of a finite chain of diffusively coupled Lorenz oscillators with periodic boundary conditions. Such rings possess infinitely many fixed states, some of which are observed to be stable. It is shown that there exists a stable fixed state in arbitrarily large rings for a fixed coupling strength. This suggests that coherent behavior in networks of diffusively coupled systems may appear at a coupling strength that is independent of the size of the network.
引用
收藏
页码:1 / 30
页数:29
相关论文
共 50 条
  • [1] Dynamics of a ring of diffusively coupled Lorenz oscillators
    Josic, K
    Wayne, CE
    [J]. JOURNAL OF STATISTICAL PHYSICS, 2000, 98 (1-2) : 1 - 30
  • [2] Scaling and synchronization in a ring of diffusively coupled nonlinear oscillators
    Senthilkumar, D. V.
    Muruganandam, P.
    Lakshmanan, M.
    Kurths, J.
    [J]. PHYSICAL REVIEW E, 2010, 81 (06)
  • [3] Emerging dynamics in neuronal networks of diffusively coupled hard oscillators
    Ponta, L.
    Lanza, V.
    Bonnin, M.
    Corinto, F.
    [J]. NEURAL NETWORKS, 2011, 24 (05) : 466 - 475
  • [4] COUPLED LORENZ OSCILLATORS
    DAVIS, SH
    ROPPO, MN
    [J]. PHYSICA D, 1987, 24 (1-3): : 226 - 242
  • [5] Loss of coherence in a population of diffusively coupled oscillators
    Toth, Rita
    Taylor, Annette F.
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2006, 125 (22):
  • [6] Acceleration phenomenon in the synchronization of diffusively coupled oscillators
    Huang, Zhi-Long
    Yan, Zhou
    Chen, Guanrong
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (11)
  • [7] GROUP SYNCHRONIZATION OF DIFFUSIVELY COUPLED HARMONIC OSCILLATORS
    Zhao, Liyun
    Liu, Jun
    Xiang, Lan
    Zhou, Jin
    [J]. KYBERNETIKA, 2016, 52 (04) : 629 - 647
  • [8] Transitory behaviors in diffusively coupled nonlinear oscillators
    Tadokoro, Satoru
    Yamaguti, Yutaka
    Fujii, Hiroshi
    Tsuda, Ichiro
    [J]. COGNITIVE NEURODYNAMICS, 2011, 5 (01) : 1 - 12
  • [9] Diffusively coupled chemical oscillators in a microfluidic assembly
    Toiya, Masahiro
    Vanag, Vladimir K.
    Epstein, Irving R.
    [J]. ANGEWANDTE CHEMIE-INTERNATIONAL EDITION, 2008, 47 (40) : 7753 - 7755
  • [10] Transitory behaviors in diffusively coupled nonlinear oscillators
    Satoru Tadokoro
    Yutaka Yamaguti
    Hiroshi Fujii
    Ichiro Tsuda
    [J]. Cognitive Neurodynamics, 2011, 5 : 1 - 12