Kauffman networks with threshold functions

Details Kauffman networks with threshold functions Kauffman networks with threshold functions

2007-01-09

arxiv.org/abs/cond-mat/0701176v1

Eur. Phys. J. B 57, 109-113 (2007)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, submitted to PhysRev; http://www.edpsciences.org/10.1140/epjb/e2007-00161-0

Scientific paper

10.1140/epjb/e2007-00161-0

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 results are supported by analytical calculations and computer simulations.

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