Dynamics of Critical Kauffman Networks under Asynchronous Stochastic Update

Phys. Rev. Lett. 95, 048701 – Published 19 July 2005
Florian Greil and Barbara Drossel


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.

DOI: http://dx.doi.org/10.1103/PhysRevLett.95.048701

  • Figure
  • Received 5 January 2005
  • Published 19 July 2005

© 2005 The American Physical Society

Authors & Affiliations

Florian Greil and Barbara Drossel

  • Institut für Festkörperphysik, Technische Universität Darmstadt, Hochschulstraße 6, 64289 Darmstadt, Germany

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