Periodic Patterns in Orbits of Certain Linear Cellular Automata
Barbé, André ; Haeseler, Fritz,
HAL, hal-01182970 / Harvested from HAL
Text on HAL
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.
Publié le : 2001-07-04
Classification:  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] 
@article{hal-01182970,
     author = {Barb\'e, Andr\'e and Haeseler, Fritz, },
     title = {Periodic Patterns in Orbits of Certain Linear Cellular Automata},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01182970}
}

Barbé, André; Haeseler, Fritz, . Periodic Patterns in Orbits of Certain Linear Cellular Automata. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-01182970/