Berlin 2012 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 20: Networks III

DY 20.7: Talk

Wednesday, March 28, 2012, 16:30–16:45, MA 004

Formation of the frozen core in critical Boolean Networks — •Marco Möller and Barbara Drossel — Festkörperphysik, TU Darmstadt, Germany

We investigate numerically and analytically the formation of the frozen core in critical random Boolean networks with biased functions. We demonstrate that a previously used efficient algorithm for obtaining the frozen core, which starts from the nodes with constant functions, fails when the number of inputs per node exceeds 4. We present computer simulation data for the process of formation of the frozen core and its robustness, and we show that several important features of the data can be derived by using a mean-field calculation.