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Phys. Rev. Lett. 95, 048701 (2005) [4 pages]

Dynamics of Critical Kauffman Networks under Asynchronous Stochastic Update

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Florian Greil and Barbara Drossel
Institut für Festkörperphysik, Technische Universität Darmstadt, Hochschulstraße 6, 64289 Darmstadt, Germany

Received 5 January 2005; published 19 July 2005

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.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.95.048701
DOI: 10.1103/PhysRevLett.95.048701
PACS: 89.75.Hc, 02.50.Cw, 05.65.+b, 89.75.Da

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