On a Certain Class of IFSs and Their Attractors
Open Access
- 22 November 2022
- journal article
- research article
- Published by Springer Nature in Qualitative Theory of Dynamical Systems
- Vol. 21 (4) , 1-15
Abstract
Our purpose in this paper is to consider a new class of iterated function systems (IFS) based on the concept of orbital condition introduced by Miculescu et al. (Analele Universităţii de Vest Timişoara Seria Matematică-Informatică LVI 2:71–80, 2018). On the given IFS there are imposed some sufficient conditions guaranteeing the existence of an attractor. There are also established some further results which describe the nature of the attractors of the considered type. The introduced theory is supported by some examples of IFSs for which the attractors are also depicted.Keywords
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Funding Information
- Lucian Blaga University of Sibiu & Hasso Plattner Foundation research grants (LBUS-IRG-2021-07)
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