Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics

Stefan Bornholdt, Thimo Rohlf
2000 Physical Review Letters  
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.
doi:10.1103/physrevlett.84.6114 pmid:10991137 fatcat:7ng67xhd2rehjd7leimzidnu34