On the Dynamical Behaviour of Cellular Automata

nlin.CG

/ Authors

/ Abstract

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.

On the Dynamical Behaviour of Cellular Automata

nlin.CG

/ Authors

Xu Xu, Yi Song, Stephen P. Banks

/ Abstract

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.