Tongues in degree 4 Blaschke products

The goal of this paper is to investigate the family of Blasche products B_a , which is a rational family of perturbations of the doubling map. We focus on the tongue-like sets which appear in its parameter plane. We first study their basic topological properties and afterwards we investigate how bif...

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Detalles Bibliográficos
Autores: Canela Sánchez, Jordi, Fagella Rabionet, Núria, Garijo Real, Antonio
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2016
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/118515
Acceso en línea:https://hdl.handle.net/2445/118515
Access Level:acceso abierto
Palabra clave:Dinàmica topològica
Sistemes dinàmics diferenciables
Topological dynamics
Differentiable dynamical systems
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spelling Tongues in degree 4 Blaschke productsCanela Sánchez, JordiFagella Rabionet, NúriaGarijo Real, AntonioDinàmica topològicaSistemes dinàmics diferenciablesTopological dynamicsDifferentiable dynamical systemsThe goal of this paper is to investigate the family of Blasche products B_a , which is a rational family of perturbations of the doubling map. We focus on the tongue-like sets which appear in its parameter plane. We first study their basic topological properties and afterwards we investigate how bifurcations take place in a neighborhood of their tips. Finally we see how the fixed tongue extends beyond its natural domain of definition.IOP Publishing2016info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2445/118515Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésVersió postprint del document publicat a: https://doi.org/10.1088/0951-7715/29/11/3464Nonlinearity, 2016, vol. 29, p. 3464-3495https://doi.org/10.1088/0951-7715/29/11/3464(c) IOP Publishing & London Mathematical Society , 2016info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1185152026-05-27T06:46:51Z
dc.title.none.fl_str_mv Tongues in degree 4 Blaschke products
title Tongues in degree 4 Blaschke products
spellingShingle Tongues in degree 4 Blaschke products
Canela Sánchez, Jordi
Dinàmica topològica
Sistemes dinàmics diferenciables
Topological dynamics
Differentiable dynamical systems
title_short Tongues in degree 4 Blaschke products
title_full Tongues in degree 4 Blaschke products
title_fullStr Tongues in degree 4 Blaschke products
title_full_unstemmed Tongues in degree 4 Blaschke products
title_sort Tongues in degree 4 Blaschke products
dc.creator.none.fl_str_mv Canela Sánchez, Jordi
Fagella Rabionet, Núria
Garijo Real, Antonio
author Canela Sánchez, Jordi
author_facet Canela Sánchez, Jordi
Fagella Rabionet, Núria
Garijo Real, Antonio
author_role author
author2 Fagella Rabionet, Núria
Garijo Real, Antonio
author2_role author
author
dc.subject.none.fl_str_mv Dinàmica topològica
Sistemes dinàmics diferenciables
Topological dynamics
Differentiable dynamical systems
topic Dinàmica topològica
Sistemes dinàmics diferenciables
Topological dynamics
Differentiable dynamical systems
description The goal of this paper is to investigate the family of Blasche products B_a , which is a rational family of perturbations of the doubling map. We focus on the tongue-like sets which appear in its parameter plane. We first study their basic topological properties and afterwards we investigate how bifurcations take place in a neighborhood of their tips. Finally we see how the fixed tongue extends beyond its natural domain of definition.
publishDate 2016
dc.date.none.fl_str_mv 2016
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/118515
url https://hdl.handle.net/2445/118515
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Versió postprint del document publicat a: https://doi.org/10.1088/0951-7715/29/11/3464
Nonlinearity, 2016, vol. 29, p. 3464-3495
https://doi.org/10.1088/0951-7715/29/11/3464
dc.rights.none.fl_str_mv (c) IOP Publishing & London Mathematical Society , 2016
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) IOP Publishing & London Mathematical Society , 2016
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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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score 15,300724

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