Chaos in a simple Boolean network

被引:19
|
作者
Andrecut, M [1 ]
Ali, MK [1 ]
机构
[1] Univ Lethbridge, Dept Phys, Lethbridge, AB T1K 3M4, Canada
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2001年 / 15卷 / 01期
关键词
chaos; neural networks; cellular automata; stochatic processes;
D O I
10.1142/S021797920100259X
中图分类号
O59 [应用物理学];
学科分类号
摘要
We study the complex dynamics of a simple stochastic Boolean network. The investigated system is equivalent to a randomly connected Boolean cellular automaton. The dynamical evolution of the cellular automaton is exactly described by a polynomial map with binomial coefficients. We show that the map is chaotic and the route to chaos is period-doubling bifurcations.
引用
收藏
页码:17 / 23
页数:7
相关论文
共 50 条
  • [41] Nonlinearity and chaos in wireless network traffic
    Mukherjee, Somenath
    Ray, Rajdeep
    Samanta, Rajkumar
    Khondekar, Mofazzal H.
    Sanyal, Goutam
    CHAOS SOLITONS & FRACTALS, 2017, 96 : 23 - 29
  • [42] Periodic sequences of simple maps can support chaos
    Canovas, Jose S.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 466 : 153 - 159
  • [43] A simple method to improve a torsion pendulum for studying chaos
    Miao, Congcong
    Luo, Wu
    Ma, Yaqi
    Liu, Weiqing
    Xiao, Jinghua
    EUROPEAN JOURNAL OF PHYSICS, 2014, 35 (05)
  • [44] Optoelectronic Chaos in a Simple Light Activated Feedback Circuit
    Joiner, K. L.
    Palmero, F.
    Carretero-Gonzalez, R.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2016, 26 (05):
  • [45] Bifurcation and chaos in simple discontinuous systems separated by a hypersurface
    Hosham, Hany A.
    Alharthi, Thoraya N.
    AIMS MATHEMATICS, 2024, 9 (07): : 17025 - 17038
  • [46] Omnivory creates chaos in simple food web models
    Tanabe, K
    Namba, T
    ECOLOGY, 2005, 86 (12) : 3411 - 3414
  • [47] A simple criterion for the occurrence of chaos in nonlinear feedback systems
    Hirai, K
    ELECTRONICS AND COMMUNICATIONS IN JAPAN PART III-FUNDAMENTAL ELECTRONIC SCIENCE, 1999, 82 (02): : 11 - 19
  • [48] Pulses and chaos: Dynamical response in a simple genetic oscillator
    Fonslet, Jesper
    Petersen, Kristian Rub
    Krishna, Sandeep
    Jensen, Mogens H.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2007, 21 (23-24): : 4082 - 4089
  • [49] Pinning Controllability for a Boolean Network With Arbitrary Disturbance Inputs
    Li, Fangfei
    Tang, Yang
    IEEE TRANSACTIONS ON CYBERNETICS, 2021, 51 (06) : 3338 - 3347
  • [50] Dynamical Properties of Artificially Evolved Boolean Network Robots
    Roli, Andrea
    Villani, Marco
    Serra, Roberto
    Benedettini, Stefano
    Pinciroli, Carlo
    Birattari, Mauro
    AI*IA 2015: ADVANCES IN ARTIFICIAL INTELLIGENCE, 2015, 9336 : 45 - 57