The dynamics of critical Kauffman networks under asynchronous stochastic update

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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submitted to PRL

Scientific paper

10.1103/PhysRevLett.95.048701

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.

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