Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics

Details Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics

2000-03-13

arxiv.org/abs/cond-mat/0003215v2

Phys. Rev. Lett. 84 (2000) 6114-6117

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages RevTeX, 4 figures PostScript, revised version

Scientific paper

10.1103/PhysRevLett.84.6114

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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