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Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics

, and . Phys. Rev. Lett., 84 (26): 6114--6117 (2000)
DOI: 10.1103/PhysRevLett.84.6114

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.

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