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arxiv: 0707.0855 · v1 · submitted 2007-07-05 · 🌊 nlin.CG

On the Dynamical Behaviour of Cellular Automata

classification 🌊 nlin.CG
keywords adicautomatacellularassociatedbehaviourcomputecontinuitydimensional
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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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