Perturbation propagation in random and evolved Boolean networks

Details Perturbation propagation in random and evolved Boolean networks Perturbation propagation in random and evolved Boolean networks

2009-05-05

arxiv.org/abs/0905.0646v1

New J. Phys. 11 (2009) 033005

Physics

Condensed Matter

Statistical Mechanics

10 pages, 8 figures

Scientific paper

10.1088/1367-2630/11/3/033005

We investigate the propagation of perturbations in Boolean networks by evaluating the Derrida plot and modifications of it. We show that even small Random Boolean Networks agree well with the predictions of the annealed approximation, but non-random networks show a very different behaviour. We focus on networks that were evolved for high dynamical robustness. The most important conclusion is that the simple distinction between frozen, critical and chaotic networks is no longer useful, since such evolved networks can display properties of all three types of networks. Furthermore, we evaluate a simplified empirical network and show how its specific state space properties are reflected in the modified Derrida plots.

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