Dynamical Properties of A Cellular Automaton Model of Language Shift in Algeria

In this paper we are interested in the dynamical properties of a two dimensional cellular automaton that model the language shift in Algeria. We will study among other properties the surjectivity and the existence of equicontinuity points for the cellular automaton. Using computer simulation we obtained some properties of the bassin of attraction of some fixed points. This experimental results are provided along with analytical proofs.