Periodicity of cylindrical linear cellular automata

Details Periodicity of cylindrical linear cellular automata Periodicity of cylindrical linear cellular automata

1994-12-15

arxiv.org/abs/patt-sol/9412003v1

Nonlinear Sciences

Pattern Formation and Solitons

20 pages, submitted to Prog. Thoer. Phys. (Figures can be obtained by anonymous ftp)

Scientific paper

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.

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