André Barbé ; Fritz Haeseler - Periodic Patterns in Orbits of Certain Linear Cellular Automata

dmtcs:2290 - Discrete Mathematics & Theoretical Computer Science, January 1, 2001, DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001) - https://doi.org/10.46298/dmtcs.2290
Periodic Patterns in Orbits of Certain Linear Cellular Automata

Authors: André Barbé 1; Fritz Haeseler 2

  • 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.

https://doi.org/10.46298/dmtcs.2290
Source: HAL:hal-01182970v1
Volume: DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001)
Section: Proceedings
Published on: January 1, 2001
Imported on: November 21, 2016
Keywords: cellular automata,p-fold bifurcation of periods,finite fields,[INFO] Computer Science [cs],[INFO.INFO-CG] Computer Science [cs]/Computational Geometry [cs.CG],[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM],[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO]

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