Critical Kauffman networks under deterministic asynchronous update
Disordered Systems and Neural Networks
2009-11-13 v1 Statistical Mechanics
Abstract
We investigate the influence of a deterministic but non-synchronous update on Random Boolean Networks, with a focus on critical networks. Knowing that ``relevant components'' determine the number and length of attractors, we focus on such relevant components and calculate how the length and number of attractors on these components are modified by delays at one or more nodes. The main findings are that attractors decrease in number when there are more delays, and that periods may become very long when delays are not integer multiples of the basic update step.
Cite
@article{arxiv.0707.1450,
title = {Critical Kauffman networks under deterministic asynchronous update},
author = {Florian Greil and Barbara Drossel and Joost Sattler},
journal= {arXiv preprint arXiv:0707.1450},
year = {2009}
}
Comments
8 pages, 3 figures, submitted to a journal