On the Dynamical Behaviour of Cellular Automata
Cellular Automata and Lattice Gases
2007-07-06 v1
Abstract
In this paper we study the dynamics of 1- and 2- dimensional cellular automata, using a 2-adic representation of the states, we give a simple graphical technique for finding periodic solutions. We also study the continuity properties of the associated 2-adic system and show how to compute the entropy.
Keywords
Cite
@article{arxiv.0707.0855,
title = {On the Dynamical Behaviour of Cellular Automata},
author = {Xu Xu and Yi Song and Stephen P. Banks},
journal= {arXiv preprint arXiv:0707.0855},
year = {2007}
}
Comments
20 pages with 7 figures, submitted to Journal of Mathematical Analysis and Applications