Topological evolution of dynamical networks: global criticality from local dynamics

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 K(c) = 2 in the limit of large system size N....

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Bibliographic Details
Published inPhysical review letters Vol. 84; no. 26 Pt 1; p. 6114
Main Authors Bornholdt, S, Rohlf, T
Format Journal Article
LanguageEnglish
Published United States 26.06.2000
Subjects
Algorithms
Gene Expression Regulation
Genome
Models, Biological
Models, Theoretical
Nerve Net
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Summary: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 K(c) = 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.
ISSN:0031-9007
DOI:10.1103/physrevlett.84.6114