Geodesic
A family of chaotic dynamical systems on the cantor dust C × C
Filomat, Tome 37 (2023) no. 6, p. 1915

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DOI

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.
DOI : 10.2298/FIL2306915A
Classification : 51F99, 37D45, 28A80, 37B10
Keywords: Cantor set, Code representation, Chaos, Discrete dynamics, Dihedral group 
Nisa Aslan; Fatma Diğdem Koparal; Mustafa Saltan; Yunus Özdemir; Bünyamin Demir. A family of chaotic dynamical systems on the cantor dust C × C. Filomat, Tome 37 (2023) no. 6, p. 1915 . doi: 10.2298/FIL2306915A
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     title = {A family of chaotic dynamical systems on the cantor dust {C} {\texttimes} {C}},
     journal = {Filomat},
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     number = {6},
     doi = {10.2298/FIL2306915A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2306915A/}
}
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