On Oscillations in Cellular Automata
Condensed Matter
2009-10-22 v1
Abstract
We investigate cellular automata where some global quantity varies periodically or quasiperiodically with time. We find that these systems are highly predictable, and can be rather well described by a set of mean-field variables. We conclude that this is not a collective phenomenon - where different subsystems are supposed to synchronize - but rather like many very weakly coupled oscillators fluctuating around one exact frequency. The global quantity measured is a mean taken over all these subsystems, and gets more precise the larger the system is.
Cite
@article{arxiv.cond-mat/9212026,
title = {On Oscillations in Cellular Automata},
author = {Jan Hemmingsson and Hans J. Herrmann},
journal= {arXiv preprint arXiv:cond-mat/9212026},
year = {2009}
}
Comments
six pages LaTeX