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On the number of attractors in random Boolean networks

Name: On the number of attractors in random Boolean networks
Creator: Drossel, Barbara
Keywords: Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Statistical Mechanics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2005Embargo end date: 01 Jan 2005Publisher:arXiv

Authors: Drossel, Barbara;

doi: 10.48550/arxiv.cond-mat/0503526

arXiv: http://arxiv.org/abs/cond-mat/0503526

On the number of attractors in random Boolean networks

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Abstract

The evaluation of the number of attractors in Kauffman networks by Samuelsson and Troein is generalized to critical networks with one input per node and to networks with two inputs per node and different probability distributions for update functions. A connection is made between the terms occurring in the calculation and between the more graphic concepts of frozen, nonfrozen and relevant nodes, and relevant components. Based on this understanding, a phenomenological argument is given that reproduces the dependence of the attractor numbers on system size.

6 pages

Keywords

Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Statistical Mechanics

1 Research products, page 1 of 1

Number of attractors in random Boolean networks
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On the number of attractors in random Boolean networks

On the number of attractors in random Boolean networks

1 Research products, page 1 of 1

Number of attractors in random Boolean networks