Topological evolution of dynamical networks: Global criticality from local dynamics

Stefan Bornholdt and Thimo Rohlf
Journal 84, 6114-6117, 2000.

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.

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