Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics
Disordered Systems and Neural Networks
2009-10-31 v2 Statistical Mechanics
Adaptation and Self-Organizing Systems
Molecular Networks
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 in the limit of large system size . How this principle could generate self-organization in natural complex systems is discussed for two examples: neural networks and regulatory networks in the genome.
Keywords
Cite
@article{arxiv.cond-mat/0003215,
title = {Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics},
author = {Stefan Bornholdt and Thimo Rohlf},
journal= {arXiv preprint arXiv:cond-mat/0003215},
year = {2009}
}
Comments
4 pages RevTeX, 4 figures PostScript, revised version