Berlin 2008 – wissenschaftliches Programm

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AKSOE: Arbeitskreis Physik sozio-ökonomischer Systeme

AKSOE 13: Poster Session (posters on display 10:00-19:00)

AKSOE 13.10: Poster

Mittwoch, 27. Februar 2008, 17:30–19:00, Poster G

Kauffman Boolean model in undirected scale free networks — Piotr Fronczak, Agata Fronczak, and •Janusz Holyst — Faculty of Physics, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland

We investigate analytically and numerically the critical line in undirected random Boolean networks with arbitrary degree distributions, including scale-free topology of connections P(k)∼ k^−γ. We explain that the unattainability of the critical line in numerical simulations of classical random graphs is due to percolation phenomena. We suggest that recent findings of discrepancy between simulations and theory in directed random Boolean networks can have the same reason. We also show that in infinite scale-free networks the transition between frozen and chaotic phase occurs for 3<γ < 3.5. Since most of critical phenomena in scale-free networks reveal their non-trivial character for γ<3, the position of the critical line in Kauffman model seems to be an important exception from the rule.