@article{article_1126635, title={Comparison of some dynamical systems on the quotient space of the Sierpinski tetrahedron}, journal={Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics}, volume={72}, pages={229–239}, year={2023}, DOI={10.31801/cfsuasmas.1126635}, author={Aslan, Nisa and Saltan, Mustafa and Demir, Bünyamin}, keywords={Sierpinski tetrahedron, quotient space, code representation, dynamical systems, topological conjugacy}, abstract={In this paper, it is aimed to construct two different dynamical systems on the Sierpinski tetrahedron. To this end, we consider the dynamical systems on a quotient space of $\{ 0,1,2,3 \}^{\mathbb{N }$ by using the code representations of the points on the Sierpinski tetrahedron. Finally, we compare the periodic points to investigate topological conjugacy of these dynamical systems and we conclude that they are not topologically equivalent.}, number={1}, publisher={Ankara University}