CNCS Center for Nonlinear and Complex Systems
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Publications [#248386] of Joshua Socolar

Papers Published

  1. Socolar, JES; Kauffman, SA, Scaling in ordered and critical random boolean networks., Physical Review Letters, vol. 90 no. 6 (February, 2003), pp. 068702, ISSN 0031-9007 [12633339], [doi]
    (last updated on 2019/04/26)

    Abstract:
    Random Boolean networks, originally invented as models of genetic regulatory networks, are simple models for a broad class of complex systems that show rich dynamical structures. From a biological perspective, the most interesting networks lie at or near a critical point in parameter space that divides "ordered" from "chaotic" attractor dynamics. We study the scaling of the average number of dynamically relevant nodes and the median number of distinct attractors in such networks. Our calculations indicate that the correct asymptotic scalings emerge only for very large systems.