Homogeneous States of Finite Periodic CA with GKL Rules

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For any finite lattice of size 2N, it is shown that the GKL automaton will evolve into attractors if the initial configurations contains an homogeneous block of size larger than N. The best time estimation for reaching these attracting states is obtained. Our results also confirm to the case of infinite lattice which has been obtained previously.
10 Pages, no figures

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Cellular Automata and Lattice Gases, Pattern Formation and Solitons

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http://salesiana.dossiersoluciones.com/handle/123456789/80417

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0303001
 http://arxiv.org/abs/nlin/0303001

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arXiv