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. How this principle could generate self-organization in natural complex systems is discussed for two examples: neural networks and regulatory networks in the genome.
Bornholdt
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S
Institut für Theoretische Physik, Universität Kiel, Leibnizstrasse 15, D-24098 Kiel, Germany.
Rohlf
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T
D000465:Algorithms; D005786:Gene Expression Regulation; D016678:Genome; D008954:Models, Biological; D008962:Models, Theoretical; D009415:Nerve Net