The Kauffman model on Small-World Topology
Statistical Mechanics
2009-11-11 v3 Disordered Systems and Neural Networks
Abstract
We apply Kauffman's automata on small-world networks to study the crossover between the short-range and the infinite-range case. We perform accurate calculations on square lattices to obtain both critical exponents and fractal dimensions. Particularly, we find an increase of the damage propagation and a decrease in the fractal dimensions when adding long-range connections.
Keywords
Cite
@article{arxiv.cond-mat/0603827,
title = {The Kauffman model on Small-World Topology},
author = {Carlos Handrey A. Ferraz and Hans J. Herrmann},
journal= {arXiv preprint arXiv:cond-mat/0603827},
year = {2009}
}
Comments
AMS-LaTeX v1.2, 8 pages with 8 figures Encapsulated Postscript, to be published in Physica A