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Chaos game for IFSs on topological spaces

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Barnsley, Michael; Lesniak, Krzysztof; Rypka, Miroslav

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We explore the chaos game on continuous IFSs on topological spaces. We prove that the existence of an attractor implies that the chaos game can be used to construct approximations of the attractor. The essential role of basin of attraction is discussed.

dc.contributor.authorBarnsley, Michael
dc.contributor.authorLesniak, Krzysztof
dc.contributor.authorRypka, Miroslav
dc.date.accessioned2022-12-02T01:24:06Z
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/1885/281497
dc.description.abstractWe explore the chaos game on continuous IFSs on topological spaces. We prove that the existence of an attractor implies that the chaos game can be used to construct approximations of the attractor. The essential role of basin of attraction is discussed.
dc.format.mimetypeapplication/pdf
dc.language.isoen_AU
dc.publisherAcademic Press
dc.rights© 2015 Elsevier Inc.
dc.sourceJournal of Mathematical Analysis and Applications
dc.subjectIterated function system
dc.subjectStrict attractor
dc.subjectBasin of attractor
dc.subjectPointwise basin
dc.subjectChaos game
dc.titleChaos game for IFSs on topological spaces
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume435
dc.date.issued2016
local.identifier.absfor000000 - Internal ANU use only
local.identifier.absfor490400 - Pure mathematics
local.identifier.ariespublicationU3488905xPUB15672
local.publisher.urlhttps://www.elsevier.com/en-au
local.type.statusPublished Version
local.contributor.affiliationBarnsley, Michael, College of Science, ANU
local.contributor.affiliationLesniak, Krzysztof, Nicolaus Copernicus University
local.contributor.affiliationRypka, Miroslav, College of Science, ANU
local.description.embargo2099-12-31
local.bibliographicCitation.issue2
local.bibliographicCitation.startpage1458
local.bibliographicCitation.lastpage1466
local.identifier.doi10.1016/j.jmaa.2015.11.022
dc.date.updated2021-11-28T07:30:58Z
local.identifier.scopusID2-s2.0-84961960503
local.identifier.thomsonID000367119200027
CollectionsANU Research Publications

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