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.
Bornholdt2000 - Topological Evolution of Dynamical Networks\: Global Criticality from Local Dynamics.pdf:Bornholdt2000 - Topological Evolution of Dynamical Networks\: Global Criticality from Local Dynamics.pdf:PDF
%0 Journal Article
%1 Bornholdt2000
%A Bornholdt, Stefan
%A Rohlf, Thimo
%D 2000
%I American Physical Society
%J Phys. Rev. Lett.
%K boolean-dynamics criticality evolution networks soc
%N 26
%P 6114--6117
%R 10.1103/PhysRevLett.84.6114
%T Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics
%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{Bornholdt2000,
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 = {2011-01-13T13:25:34.000+0100},
author = {Bornholdt, Stefan and Rohlf, Thimo},
biburl = {https://www.bibsonomy.org/bibtex/2d7136c50ab85cb66c2af3809813f65fc/rincedd},
doi = {10.1103/PhysRevLett.84.6114},
file = {Bornholdt2000 - Topological Evolution of Dynamical Networks\: Global Criticality from Local Dynamics.pdf:Bornholdt2000 - Topological Evolution of Dynamical Networks\: Global Criticality from Local Dynamics.pdf:PDF},
groups = {public},
interhash = {c2302545a6cad7d7ab2271d07b0c88ed},
intrahash = {d7136c50ab85cb66c2af3809813f65fc},
journal = {Phys. Rev. Lett.},
keywords = {boolean-dynamics criticality evolution networks soc},
number = 26,
pages = {6114--6117},
publisher = {American Physical Society},
timestamp = {2011-03-30T16:38:25.000+0200},
title = {Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics},
username = {rincedd},
volume = 84,
year = 2000
}