English

Orbits in one-dimensional finite linear cellular automata

Condensed Matter 2009-10-22 v1

Abstract

Periodicity and relaxation are investigated for the trajectories of the states in one-dimensional finite cellular automata with rule-90 and 150. The time evolutions are described with matrices. Eigenvalue analysis is applied to clarify the maximum value of period and relaxation.

Keywords

Cite

@article{arxiv.cond-mat/9305012,
  title  = {Orbits in one-dimensional finite linear cellular automata},
  author = {Shin-ichi Tadaki},
  journal= {arXiv preprint arXiv:cond-mat/9305012},
  year   = {2009}
}

Comments

16 pages, 5 figures(uuencoded)

R2 v1 2026-07-22T11:46:01.857Z