Year: 2025
Type: article
Abstract: In the present paper, we focus on dynamical systems on the Gehman dendrite G. It is well-known that the set of end points of this dendrite is homeomorphic to the standard Cantor ternary set C. For any given surjective dynamical system acting on C, we provide constructions of dynamical systems on G, which are (i) topologically mixing but not exact or (ii) topologically exact, and such that in both cases, the subsystem acting on the set of end points End(G) is conjugate to the initially chosen dynamical system on C.
DOI: 10.1063/5.0249144
Authors: Piotr Oprocha, Jakub Tomaszewski
Institutions: University of Ostrava, AGH University of Krakow
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4408099019