Euroattractor: a brief introduction to Iterated Function Systems
| dc.creator | Zyczkowski, Karol | |
| dc.creator | Lozinski, Artur | |
| dc.date | 2002-10-30 | |
| dc.date.accessioned | 2026-07-07T05:34:23Z | |
| dc.date.available | 2026-07-07T05:34:23Z | |
| dc.description | In this work we propose a definition of an Euroattractor: an attracting invariant measure of a certain iterated functions system (IFS). An IFS is defined by specifying a set of functions, defined in subsets of R^N or in a classical phase space, which act randomly on the initial point, so it may be considered as a generalization of the notion of classical dynamical system. If the functions are sufficiently contracting, there exists an invariant measure of the system, often concentrated on a fractal set. We investigate invariant measures of a certain class of generalized or weakly contracting IFS's. | |
| dc.description | 8 pages, 4 figures, to be published in Proceedings of the EUROATTRACTOR conference, Warsaw, June 2002 | |
| dc.identifier | https://arxiv.org/abs/nlin/0210071 | |
| dc.identifier | http://arxiv.org/abs/nlin/0210071 | |
| dc.identifier | pages 231-241 in "Simplicity behind Complexity", (ed. W. Klonowski), Pabst Publishers, Langerich, 2004. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80347 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Euroattractor: a brief introduction to Iterated Function Systems | |
| dc.type | text |