Periodicity of cylindrical linear cellular automata
patt-sol
2008-02-03 v1 Pattern Formation and Solitons
Abstract
Periodicity and relaxation are investigated for the trajectories of the states in cylindrical linear cellular automata. The time evolutions are described with matrices. The eigenvalue analysis is applied to obtain the maximum values of period and relaxation. The translational invariance suppresses the maximum period and relaxation.
Keywords
Cite
@article{arxiv.patt-sol/9412003,
title = {Periodicity of cylindrical linear cellular automata},
author = {Shin-ichi Tadaki},
journal= {arXiv preprint arXiv:patt-sol/9412003},
year = {2008}
}
Comments
20 pages, submitted to Prog. Thoer. Phys. (Figures can be obtained by anonymous ftp)