CHAOS IN A SIMPLE BOOLEAN NETWORK-Reference-Cited by-同舟云学术

CHAOS IN A SIMPLE BOOLEAN NETWORK

Published:2001-01-10 Issue:01 Volume:15 Page:17-23
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

ANDRECUT M.¹,ALI M. K.¹

Affiliation:

1. Department of Physics, University of Lethbridge, 4401 University Drive, Lethbridge, AB, T1K 3M4, Canada

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021797920100259X

Reference7 articles.

1. Phase diagram of a model of self-organizing hierarchies

2. Rational group decision making: A random field Ising model at T = 0

3. Microscopic Simulation of the Stock Market: the Effect of Microscopic Diversity

4. Quantitative universality for a class of nonlinear transformations

5. The universal metric properties of nonlinear transformations

Cited by 23 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Stability of Boolean networks: The joint effects of topology and update rules;Physical Review E;2014-08-25

2. Modeling intrinsic noise in random Boolean networks;Physica A: Statistical Mechanics and its Applications;2014-02

3. Microscopic interactions lead to mutual synchronization in a network of networks;Physics Letters A;2011-07

4. Structure-Dynamics Relationships in Biological Networks;Intelligent Systems Reference Library;2011

5. Measuring Information Propagation and Processing in Biological Systems;Open Information Management;2009