Regensburg 2007 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 6: Statistical physics of complex networks II

DY 6.5: Talk

Monday, March 26, 2007, 15:30–15:45, H3

Rich dynamical behavior of simple canalyzing Kauffman networks — •Florian Greil and Barbara Drossel — Institut für Festkörperphysik, Technische Universität Darmstadt, Deutschland

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. While these models should be critical according to the simplest consideration, it turns out that they show in reality a rich variety of behaviors as the relative weights of the different canalyzing functions are changed. We see frozen, critical and chaotic behavior, as well as oscillations with period 2, and several critical points between these different regimes. The results are supported by analytical calculations and computer simulations.