On the properties of cycles of simple Boolean networks

Details On the properties of cycles of simple Boolean networks On the properties of cycles of simple Boolean networks

2004-10-21

arxiv.org/abs/cond-mat/0410546v1

Eur. Phys. J. B 43(1), 115-124 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 8 figures

Scientific paper

10.1140/epjb/e2005-00034-6

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.

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