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The European Physical Journal B

, Volume 57, Issue 1, pp 109–113 | Cite as

Kauffman networks with threshold functions

  • F. GreilEmail author
  • B. Drossel
Interdisciplinary Physics

Abstract.

We investigate Threshold Random Boolean Networks with K = 2 inputs per node, which are equivalent to Kauffman networks, with only part of the canalyzing functions as update functions. According to the simplest consideration these networks should be critical but it turns out that they show a rich variety of behaviors, including periodic and chaotic oscillations. The analytical results are supported by computer simulations.

PACS.

89.75.Hc Networks and genealogical trees 05.70.Fh Phase transitions: general studies 05.65.+b Self-organized systems 

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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  1. 1.Institut für Festkörperphysik, Technische Universität DarmstadtDarmstadtGermany

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