(1) Institut für Festkörperphysik, TU Darmstadt, Hochschulstrasse 6, 64289 Darmstadt, Germany
Abstract:
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.