Sierpinski curve Julia sets for quadratic rational maps

We investigate under which dynamical conditions the Julia set of a quadratic rational map is a Sierpiński curve.

Detalles Bibliográficos
Autores: Devaney, Robert L., Fagella Rabionet, Núria, Garijo Real, Antonio, Jarque i Ribera, Xavier
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/52986
Acceso en línea:https://hdl.handle.net/2445/52986
Access Level:acceso abierto
Palabra clave:Sistemes dinàmics diferenciables
Mètodes iteratius (Matemàtica)
Differentiable dynamical systems
Iterative methods (Mathematics)
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spelling Sierpinski curve Julia sets for quadratic rational mapsDevaney, Robert L.Fagella Rabionet, NúriaGarijo Real, AntonioJarque i Ribera, XavierSistemes dinàmics diferenciablesMètodes iteratius (Matemàtica)Differentiable dynamical systemsIterative methods (Mathematics)We investigate under which dynamical conditions the Julia set of a quadratic rational map is a Sierpiński curve.Academia Scientiarum Fennica2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/52986Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: 10.5186/aasfm.2014.3903Annales Academiae Scientiarum Fennicae. Mathematica, 2014, vol. 39, num. 1, p. 3-22http://dx.doi.org/10.5186/aasfm.2014.3903(c) Academia Scientiarum Fennica, 2014info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/529862026-05-27T06:46:51Z
dc.title.none.fl_str_mv Sierpinski curve Julia sets for quadratic rational maps
title Sierpinski curve Julia sets for quadratic rational maps
spellingShingle Sierpinski curve Julia sets for quadratic rational maps
Devaney, Robert L.
Sistemes dinàmics diferenciables
Mètodes iteratius (Matemàtica)
Differentiable dynamical systems
Iterative methods (Mathematics)
title_short Sierpinski curve Julia sets for quadratic rational maps
title_full Sierpinski curve Julia sets for quadratic rational maps
title_fullStr Sierpinski curve Julia sets for quadratic rational maps
title_full_unstemmed Sierpinski curve Julia sets for quadratic rational maps
title_sort Sierpinski curve Julia sets for quadratic rational maps
dc.creator.none.fl_str_mv Devaney, Robert L.
Fagella Rabionet, Núria
Garijo Real, Antonio
Jarque i Ribera, Xavier
author Devaney, Robert L.
author_facet Devaney, Robert L.
Fagella Rabionet, Núria
Garijo Real, Antonio
Jarque i Ribera, Xavier
author_role author
author2 Fagella Rabionet, Núria
Garijo Real, Antonio
Jarque i Ribera, Xavier
author2_role author
author
author
dc.subject.none.fl_str_mv Sistemes dinàmics diferenciables
Mètodes iteratius (Matemàtica)
Differentiable dynamical systems
Iterative methods (Mathematics)
topic Sistemes dinàmics diferenciables
Mètodes iteratius (Matemàtica)
Differentiable dynamical systems
Iterative methods (Mathematics)
description We investigate under which dynamical conditions the Julia set of a quadratic rational map is a Sierpiński curve.
publishDate 2014
dc.date.none.fl_str_mv 2014
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/52986
url https://hdl.handle.net/2445/52986
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: 10.5186/aasfm.2014.3903
Annales Academiae Scientiarum Fennicae. Mathematica, 2014, vol. 39, num. 1, p. 3-22
http://dx.doi.org/10.5186/aasfm.2014.3903
dc.rights.none.fl_str_mv (c) Academia Scientiarum Fennica, 2014
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Academia Scientiarum Fennica, 2014
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Academia Scientiarum Fennica
publisher.none.fl_str_mv Academia Scientiarum Fennica
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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