Dynamical Properties of Additive Cellular Automata over Finite Abelian Groups

Some dynamical properties were discussed for additive cellular automata(CA) over finite abelian groups. These properties include surjection, ergodicity, sensitivity to initial conditions and positive expansivity. Some necessary and sufficient conditions of determining ergodicity and sensitivity of the above additive CA were presented, respectively. A necessary condition for the positive expansivity of the above additive CA was given. The positive expansivity was proved to be preserved under the ...