Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics

    Phys. Rev. Lett. 84, 6114 – Published 26 June 2000
    Stefan Bornholdt and Thimo Rohlf

    Abstract

    We evolve network topology of an asymmetrically connected threshold network by a simple local rewiring rule: quiet nodes grow links, active nodes lose links. This leads to convergence of the average connectivity of the network towards the critical value Kc=2 in the limit of large system size N. How this principle could generate self-organization in natural complex systems is discussed for two examples: neural networks and regulatory networks in the genome.

    DOI: http://dx.doi.org/10.1103/PhysRevLett.84.6114

    • Received 6 March 2000
    • Published in the issue dated 26 June 2000

    © 2000 The American Physical Society

    Authors & Affiliations

    Stefan Bornholdt and Thimo Rohlf

    • Institut für Theoretische Physik, Universität Kiel, Leibnizstrasse 15, D-24098 Kiel, Germany

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