Emergence of chaos in asymmetric networks

被引：5
|
作者：
Kanter, I [1 ]
机构：
[1] BAR ILAN UNIV,DEPT PHYS,IL-52900 RAMAT GAN,ISRAEL
来源：
PHYSICAL REVIEW LETTERS | 1996年 / 77卷 / 23期
关键词：
D O I：
10.1103/PhysRevLett.77.4844
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The dynamics of a network of N nonlinear elements interacting via random asymmetric weights is studied analytically. A transition from an ordered phase to a chaotic one is obtained when the number of relevant modes used to construct the weights exceeds N-delta 1/2 less than or equal to delta less than or equal to 1. In the ordered phase the dynamics of each element is characterized by an embedding dimension equal to one, or is dominated by one Fourier component. The transition to chaos reflecting that N coupled elements cannot follow more than N-delta modes encoded in the weights was confirmed numerically.
引用
收藏
页码：4844 / 4847
页数：4
相关论文
共 50 条
  • [1] On the emergence of chaos in dynamical networks
    Barajas-Ramirez, J. G.
    Femat, R.
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2012, 43 (12) : 2240 - 2248
  • [2] The emergence of chaos in complex dynamical networks
    Zhang, HF
    Wu, RX
    Fu, XC
    [J]. CHAOS SOLITONS & FRACTALS, 2006, 28 (02) : 472 - 479
  • [3] CELLULAR NEURAL NETWORKS: ASYMMETRIC TEMPLATES AND SPATIAL CHAOS
    Turyn, Larry
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2003, : 864 - 871
  • [4] Asymmetric game promotes the emergence of cooperation in dynamic networks
    Du, Jinming
    Wu, Ziren
    [J]. KNOWLEDGE-BASED SYSTEMS, 2024, 284
  • [5] Emergence and suppression of chaos in small interdependent networks by localized periodic excitations
    Chacon, R.
    Garcia-Hoz, A. Martinez
    Martinez, P. J.
    Martinez, J. A.
    [J]. NONLINEAR DYNAMICS, 2023, 111 (23) : 21977 - 21993
  • [6] Emergence and suppression of chaos in small interdependent networks by localized periodic excitations
    R. Chacón
    A. Martínez García-Hoz
    P. J. Martínez
    J. A. Martínez
    [J]. Nonlinear Dynamics, 2023, 111 : 21977 - 21993
  • [7] EMERGENCE FROM CHAOS
    CRANSTON, M
    [J]. ENCOUNTER, 1957, 9 (02): : 71 - 71
  • [8] Pattern formation and spatial chaos for cellular neural networks with asymmetric templates
    Shih, CW
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (10): : 1907 - 1936
  • [9] Emergence of chaos in starlike networks of dissipative nonlinear oscillators by localized parametric excitations
    Chacon, R.
    Garcia-Hoz, A. Martinez
    Martinez, J. A.
    [J]. PHYSICAL REVIEW E, 2017, 95 (05)
  • [10] Resonancelike emergence of chaos in complex networks of damped-driven nonlinear systems
    Chacon, Ricardo
    Martinez, Pedro J.
    [J]. PHYSICAL REVIEW E, 2024, 110 (01)
12345