Orbits in one-dimensional finite linear cellular automata

Shin-ichi Tadaki
Phys. Rev. E 49, 1168 – Published 1 February 1994
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Abstract

Periodicity and relaxation are investigated for the trajectories of the states in one-dimensional finite cellular automata with rules 90 and 150 [S. Wolfram, Rev. Mod. Phys. 55, 601 (1983)]. The time evolutions are described with matrices. An eigenvalue analysis is applied to clarify the maximum value of period and relaxation.

  • Received 9 April 1993

DOI:https://doi.org/10.1103/PhysRevE.49.1168

©1994 American Physical Society

Authors & Affiliations

Shin-ichi Tadaki

  • Department of Information Science, Saga University, Saga 840, Japan

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Issue

Vol. 49, Iss. 2 — February 1994

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