On the Dynamical Behaviour of Cellular Automata

Details On the Dynamical Behaviour of Cellular Automata On the Dynamical Behaviour of Cellular Automata

2007-07-05

arxiv.org/abs/0707.0855v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

20 pages with 7 figures, submitted to Journal of Mathematical Analysis and Applications

Scientific paper

In this paper we study the dynamics of 1- and 2- dimensional cellular
automata, using a 2-adic representation of the states, we give a simple
graphical technique for finding periodic solutions. We also study the
continuity properties of the associated 2-adic system and show how to compute
the entropy.

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