https://doi.org/10.1140/epjb/e2005-00034-6
On the properties of cycles of simple Boolean networks
Institut für Festkörperphysik, TU Darmstadt,
Hochschulstrasse 6, 64289 Darmstadt, Germany
Corresponding author: a viktor@fkp.tu-darmstadt.de
Received:
21
October
2004
Published online:
11
February
2005
We study two types of simple Boolean networks, namely two loops with a cross-link and one loop with an additional internal link. Such networks occur as relevant components of critical K=2 Kauffman networks. We determine mostly analytically the numbers and lengths of cycles of these networks and find many of the features that have been observed in Kauffman networks. In particular, the mean number and length of cycles can diverge faster than any power law.
PACS: 89.75.Hc – Networks and genealogical trees / 05.65.+b – Self-organized systems / 89.75.Hc – Networks and genealogical trees
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005
