Autor:	Viet, Hung Nguyen, The, Duy Mai, Hong, Thanh Vu Thi
Rok vydání:	2023
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	This paper introduces a new class of iterated function systems (IFSs) called R-IFSs, which include both rotation/reflection maps and contraction maps. The study of R-IFSs is motivated by the recent research direction on enriching IFSs by adding other types of mappings. The paper investigates the existence and properties of the semi-attractor and compact invariant sets of R-IFSs, as well as the class of minimal invariant sets of R-IFSs. The paper also provides a familiar setting that is an invariant set of R-IFS but not an invariant set of any IFS. Comment: 11 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.03426 Zobrazit plný text záznamu View this record from Arxiv