Chaos in a simple Boolean network

Authors
Andrecut, M Ali, MK
Citation
M. Andrecut et Mk. Ali, Chaos in a simple Boolean network, INT J MOD B, 15(1), 2001, pp. 17-23
Citations number
14
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
ISSN journal
02179792 → ACNP
Volume
15
Issue
1
Year of publication
2001
Pages
17 - 23
Database
ISI
SICI code
0217-9792(20010110)15:1<17:CIASBN>2.0.ZU;2-M
Abstract
We study the complex dynamics of a simple stochastic Boolean network. The i nvestigated system is equivalent to a randomly connected Boolean cellular a utomaton. The dynamical evolution of the cellular automaton is exactly desc ribed by a polynomial map with binomial coefficients. We show that the map is chaotic and the route to chaos is period-doubling bifurcations.