paper

Orbits in one-dimensional finite linear cellular automata

arXiv:cond-mat/9305012 · doi:10.1103/PhysRevE.49.1168

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.

16 pages, 5 figures(uuencoded)