Singular perturbations of zⁿ with a pole on the unit circle

We consider the family of complex maps given by fλ,a (z) = z n + λ/(z - a)d where n, d ≥ 1 are integers, and a and λ are complex parameters such that a = 1 and is sufficiently small. We focus on the topological characteristics of the Julia and Fatou sets of fλ,a.

Detalles Bibliográficos
Autores: Garijo, Antoni|||0000-0002-1503-7514, Marotta, Sebastian M.|||0000-0001-7286-2222
Tipo de recurso: artículo
Fecha de publicación:2010
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:226103
Acceso en línea:https://ddd.uab.cat/record/226103
https://dx.doi.org/urn:doi:10.1080/10236190903257842
Access Level:acceso abierto
Palabra clave:Rational Map
Iteration
Julia set
Fatou set
id ES_dc6f9c83bbb3e1c2c0aa8d2627b03fc8
oai_identifier_str oai:ddd.uab.cat:226103
network_acronym_str ES
network_name_str España
repository_id_str
spelling Singular perturbations of zⁿ with a pole on the unit circleGarijo, Antoni|||0000-0002-1503-7514Marotta, Sebastian M.|||0000-0001-7286-2222Rational MapIterationJulia setFatou setWe consider the family of complex maps given by fλ,a (z) = z n + λ/(z - a)d where n, d ≥ 1 are integers, and a and λ are complex parameters such that a = 1 and is sufficiently small. We focus on the topological characteristics of the Julia and Fatou sets of fλ,a. 22010-01-0120102010-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/226103https://dx.doi.org/urn:doi:10.1080/10236190903257842reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Ciencia y Tecnología https://doi.org/10.13039/501100006280 MTM2005-02139Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2005/SGR-01028open accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2261032026-06-06T12:50:31Z
dc.title.none.fl_str_mv Singular perturbations of zⁿ with a pole on the unit circle
title Singular perturbations of zⁿ with a pole on the unit circle
spellingShingle Singular perturbations of zⁿ with a pole on the unit circle
Garijo, Antoni|||0000-0002-1503-7514
Rational Map
Iteration
Julia set
Fatou set
title_short Singular perturbations of zⁿ with a pole on the unit circle
title_full Singular perturbations of zⁿ with a pole on the unit circle
title_fullStr Singular perturbations of zⁿ with a pole on the unit circle
title_full_unstemmed Singular perturbations of zⁿ with a pole on the unit circle
title_sort Singular perturbations of zⁿ with a pole on the unit circle
dc.creator.none.fl_str_mv Garijo, Antoni|||0000-0002-1503-7514
Marotta, Sebastian M.|||0000-0001-7286-2222
author Garijo, Antoni|||0000-0002-1503-7514
author_facet Garijo, Antoni|||0000-0002-1503-7514
Marotta, Sebastian M.|||0000-0001-7286-2222
author_role author
author2 Marotta, Sebastian M.|||0000-0001-7286-2222
author2_role author
dc.subject.none.fl_str_mv Rational Map
Iteration
Julia set
Fatou set
topic Rational Map
Iteration
Julia set
Fatou set
description We consider the family of complex maps given by fλ,a (z) = z n + λ/(z - a)d where n, d ≥ 1 are integers, and a and λ are complex parameters such that a = 1 and is sufficiently small. We focus on the topological characteristics of the Julia and Fatou sets of fλ,a.
publishDate 2010
dc.date.none.fl_str_mv 2
2010-01-01
2010
2010-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/226103
https://dx.doi.org/urn:doi:10.1080/10236190903257842
url https://ddd.uab.cat/record/226103
https://dx.doi.org/urn:doi:10.1080/10236190903257842
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia y Tecnología https://doi.org/10.13039/501100006280 MTM2005-02139
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2005/SGR-01028
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869421768641347584
score 15,301603

Similares en LA Referencia