Density of fiberwise orbits in minimal iterated function systems on the circle

Autor:	Abbas Fakhari, Ali Sarizadeh, Pablo G. Barrientos
Rok vydání:	2014
Předmět:	Pure mathematics Mathematics::Dynamical Systems Iterated function system Iterated function Applied Mathematics FOS: Mathematics Discrete Mathematics and Combinatorics Perturbation (astronomy) Dynamical Systems (math.DS) Mathematics - Dynamical Systems Analysis Mathematics
Zdroj:	Discrete & Continuous Dynamical Systems - A. 34:3341-3352
ISSN:	1553-5231
DOI:	10.3934/dcds.2014.34.3341
Popis:	We study the minimality of almost every orbital branch of minimal iterated function systems (IFSs). We prove that this kind of minimality holds for forward and backward minimal IFSs generated by orientation-preserving homeomorphisms of the circle. We provide new examples of iterated functions systems where this behavior persists under perturbation of the generators.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::426179c9f71900e8f80c49cddceb5d6e https://doi.org/10.3934/dcds.2014.34.3341 Zobrazit plný text záznamu