## Discrete Models: Combinatorics, Computation, and Geometry, DM-CCG 2001

### Robert Cori and Jacques Mazoyer and Michel Morvan and Rémy Mosseri (eds.)

### DMTCS Conference Volume AA (2001), pp. 79-94

author: | André Barbé and Fritz von Haeseler |
---|---|

title: | Periodic Patterns in Orbits of Certain Linear Cellular Automata |

keywords: | cellular automata, p-fold bifurcation of periods, finite fields |

abstract: | 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. |

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reference: | André Barbé and
Fritz von Haeseler (2001), Periodic Patterns in Orbits of
Certain Linear Cellular Automata, in Discrete Models:
Combinatorics, Computation, and Geometry, DM-CCG 2001,
Robert Cori and Jacques Mazoyer and Michel Morvan and
Rémy Mosseri (eds.), Discrete Mathematics and
Theoretical Computer Science Proceedings AA, pp.
79-94 |

bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |

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