Homogeneous States of Finite Periodic CA with GKL Rules

Details Homogeneous States of Finite Periodic CA with GKL Rules Homogeneous States of Finite Periodic CA with GKL Rules

2003-03-03

arxiv.org/abs/nlin/0303001v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

10 Pages, no figures

Scientific paper

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.

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