The R-IFSs and their attractors
Dynamical Systems
2024-10-25 v1
Abstract
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.
Cite
@article{arxiv.2305.03426,
title = {The R-IFSs and their attractors},
author = {Hung Nguyen Viet and Duy Mai The and Thanh Vu Thi Hong},
journal= {arXiv preprint arXiv:2305.03426},
year = {2024}
}
Comments
11 pages, 4 figures