Published February 2015
| Version v1
Journal article
Topological version of generalized (infinite) iterated function systems
- 1. Spiru Haret University of Bucharest, Faculty of Mathematics and Computer Science, Ion Ghica 13, Bucharest (Romania)
- 2. University of Bucharest, Faculty of Mathematics and Computer Science, Department of Mathematics, Academiei 14, 010014 Bucharest (Romania)
- 3. Institute of Mathematics, Jan Kochanowski University in Kielce and Institute of Mathematics, Łódź University of Technology, Wólczańska 215, 93-005 Łódź (Poland)
Description
Our paper is an attempt to unify various generalizations of IFSs which appeared in the literature in the last years. We extend the notion of a generalized iterated function system (introduced by Miculescu and Mihail in 2008) to the topological and (possible) infinite case. Then we prove that many classical results (for example the existence of a unique attractor) hold for this extended case
Availability note (English)
Available from http://dx.doi.org/10.1016/j.chaos.2014.12.005Additional details
Identifiers
- DOI
- 10.1016/j.chaos.2014.12.005;
- PII
- S0960-0779(14)00215-X;
Publishing Information
- Journal Title
- Chaos, Solitons and Fractals
- Journal Volume
- 71
- Journal Issue
- Complete
- Journal Page Range
- p. 78-90
- ISSN
- 0960-0779
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 47103941
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ATTRACTORS; FUNCTIONS; ITERATIVE METHODS; TOPOLOGY
- Descriptors DEC
- CALCULATION METHODS; MATHEMATICS
Optional Information
- Copyright
- Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.