Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics
Stefan Bornholdt and Thimo Rohlf
Phys. Rev. Lett. 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.