The dynamics of critical Kauffman networks under asynchronous stochastic update

Florian Greil, Barbara Drossel

Published 2005-01-05Version 1

We show that the mean number of attractors in a critical Boolean network under asynchronous stochastic update grows like a power law and that the mean size of the attractors increases as a stretched exponential with the system size. This is in strong contrast to the synchronous case, where the number of attractors grows faster than any power law.