On a Certain Class of IFSs and Their Attractors

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 sufficien...

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Bibliographic Details
Published in:Qualitative theory of dynamical systems 2022-12, Vol.21 (4), Article 162
Main Authors: Secelean, Nicolae-Adrian, Wardowski, Dariusz
Format: Article
Language:English
Subjects:
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-022-00688-6