Periodic Patterns in Orbits of Certain Linear Cellular Automata
Authors: André Barbé 1; Fritz Haeseler 2
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André Barbé;Fritz Haeseler
1 Catholic University of Leuven - Katholieke Universiteit Leuven
2 Center of Complex Systems and Visualization
We discuss certain linear cellular automata whose cells take values in a finite field. We investigate the periodic behavior of the verticals of an orbit of the cellular automaton and establish that there exists, depending on the characteristic of the field, a universal behavior for the evolution of periodic verticals.