A family of chaotic dynamical systems on the cantor dust C × C


Nisa Aslan, Fatma Diğdem Koparal, Mustafa Saltan, Yunus Özdemir, Bünyamin Demir




In this paper, we give a family of dynamical systems on the Cantor dust (C×C) by using elements of 4th Dihedral group with shift map and then express them via code representations of the points of C×C. Moreover, we prove that these systems are chaotic in the sense of Devaney and also we investigate the topological equivalence of these dynamical systems.