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 groupwith 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.


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