Random sampling vs. exact enumeration of attractors in random Boolean networks

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dc.creatorBerdahl, Andrew
dc.creatorShreim, Amer
dc.creatorSood, Vishal
dc.creatorPaczuski, Maya
dc.creatorDavidsen, Joern
dc.date2009-04-24
dc.date.accessioned2026-07-07T13:08:48Z
dc.date.available2026-07-07T13:08:48Z
dc.descriptionWe clarify the effect different sampling methods and weighting schemes have on the statistics of attractors in ensembles of random Boolean networks (RBNs). We directly measure cycle lengths of attractors and sizes of basins of attraction in RBNs using exact enumeration of the state space. In general, the distribution of attractor lengths differs markedly from that obtained by randomly choosing an initial state and following the dynamics to reach an attractor. Our results indicate that the former distribution decays as a power-law with exponent 1 for all connectivities $K>1$ in the infinite system size limit. In contrast, the latter distribution decays as a power law only for K=2. This is because the mean basin size grows linearly with the attractor cycle length for $K>2$, and is statistically independent of the cycle length for K=2. We also find that the histograms of basin sizes are strongly peaked at integer multiples of powers of two for $K<3$.
dc.identifierhttps://arxiv.org/abs/0904.3948
dc.identifierhttp://arxiv.org/abs/0904.3948
dc.identifierNew J. Phys. 11 (2009) 043024
dc.identifierdoi:10.1088/1367-2630/11/4/043024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228537
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleRandom sampling vs. exact enumeration of attractors in random Boolean networks
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