On One-Sided, D-Chaotic CA Without Fixed Points, Having Continuum of Periodic Points With Period 2 and Topological Entropy log(p) for Any Prime p

A method is known by which any integer n ≥ 2 in a metric Cantor space of right-infinite words ÃN n gives a construction of a non-injective cellular automaton (ÃN n , F̃n), which is chaotic in Devaney sense, has a radius r = 1, continuum of fixed points and topological entropy log(n). As a generalization of this method we present for any integer n ≥ 2, a construction of a cellular automaton (AN n , Fn), which has the listed properties of (ÃN n , F̃n), but has no fixed points and has continuum of periodic points with the period 2. The construction is based on properties of cellular automaton introduced here (B N, F ) with radius 1 defined for any prime number p. We prove that (B N, F ) is non-injective, chaotic in Devaney sense, has no fixed points, has continuum of periodic points with the period 2 and topological entropy log(p).