Izvorni znanstveni članak
Dynamical Analysis on the Discrete Pentagon Fractal
Nisa Aslan
orcid.org/0000-0002-2103-0511
; Department of Mathematics, Eskisehir Technical University, Eskisehir, TURKEY
*
* Dopisni autor.
Sažetak
In this study, we aim to define a chaotic dynamical system family on a discrete pentagon fractal, \(P^{d}\), a totally disconnected fractal set. One of the way to define dynamical systems on the discrete n-flake fractal is to use the elements of its symmetry group. Thus, by the help of the elements of the symmetry group of equilateral pentagon \(D_{5}\) and the shift map (\(\sigma\)), we obtain different dynamical systems via the code representations of the points on \(P^{d}\). Moreover, we investigate Devaney's chaos conditions for this family of dynamical systems.
Ključne riječi
Chaotic dynamical systems; topological conjugacy; discrete pentagon fractal; symmetry groups
Hrčak ID:
321271
URI
Datum izdavanja:
7.10.2024.
Posjeta: 128 *