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In this paper we are interested in the dynamical properties of a twodimensional cellular automaton that model the language shift in Algeria. Wewill study among other properties the surjectivity and the existence ofequicontinuity points for the cellular automaton. Using computer simulation weobtained some properties of the bassin of attraction of some fixed points. Thisexperimental results are provided along with analytical proofs.

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