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 Kc = 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.
%0 Journal Article
%1 Bornholdt2000Topological
%A Bornholdt, Stefan
%A Rohlf, Thimo
%D 2000
%I American Physical Society
%J Physical Review Letters
%K temporal\_networks, topology critical-phenomena
%N 26
%P 6114--6117
%R 10.1103/physrevlett.84.6114
%T Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics
%U http://dx.doi.org/10.1103/physrevlett.84.6114
%V 84
%X 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 Kc = 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.
@article{Bornholdt2000Topological,
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 Kc = 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.}},
added-at = {2019-06-10T14:53:09.000+0200},
author = {Bornholdt, Stefan and Rohlf, Thimo},
biburl = {https://www.bibsonomy.org/bibtex/2e050dcb0877b162a8cc5c9b34d985da4/nonancourt},
citeulike-article-id = {2202551},
citeulike-linkout-0 = {http://dx.doi.org/10.1103/physrevlett.84.6114},
citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v84/i26/p6114},
citeulike-linkout-2 = {http://link.aps.org/pdf/PRL/v84/i26/p6114},
day = 26,
doi = {10.1103/physrevlett.84.6114},
interhash = {c2302545a6cad7d7ab2271d07b0c88ed},
intrahash = {e050dcb0877b162a8cc5c9b34d985da4},
journal = {Physical Review Letters},
keywords = {temporal\_networks, topology critical-phenomena},
month = jun,
number = 26,
pages = {6114--6117},
posted-at = {2011-01-10 15:06:26},
priority = {2},
publisher = {American Physical Society},
timestamp = {2019-07-31T12:26:23.000+0200},
title = {{Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics}},
url = {http://dx.doi.org/10.1103/physrevlett.84.6114},
volume = 84,
year = 2000
}