Kauffman networks with threshold functions

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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007