Exploring parameter spaces in complex dynamics

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We show the structure of the parameter space for a family of rational maps containing Blaschke products. Through numerical simulations using the orbit of a single critical point, we reveal the existence of infinitely many Mandelbrot-like sets along the unit circle, as well as eight-like structures i...

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Detalles Bibliográficos
Autor: Suárez Navarro, Pedro Iván
Formato: artículo
Fecha de Publicación:2023
Institución:Universidad Nacional de Trujillo
Repositorio:Revistas - Universidad Nacional de Trujillo
Lenguaje:inglés
OAI Identifier:oai:ojs.revistas.unitru.edu.pe:article/5285
Enlace del recurso:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/5285
Nivel de acceso:acceso abierto
Materia:Complex dynamics
Blaschke products
Mandelbrot set
Julia set
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spelling Exploring parameter spaces in complex dynamicsSuárez Navarro, Pedro IvánComplex dynamicsBlaschke productsMandelbrot setJulia setWe show the structure of the parameter space for a family of rational maps containing Blaschke products. Through numerical simulations using the orbit of a single critical point, we reveal the existence of infinitely many Mandelbrot-like sets along the unit circle, as well as eight-like structures in other regions of parameter space. We pose some open questions related to the parameter space of these functions.National University of Trujillo - Academic Department of Mathematics2023-06-14info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/5285Selecciones Matemáticas; Vol. 10 No. 01 (2023): Special Issue; 60 - 68Selecciones Matemáticas; Vol. 10 Núm. 01 (2023): Special Issue; 60 - 68Selecciones Matemáticas; v. 10 n. 01 (2023): Special Issue; 60 - 682411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUenghttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/5285/5453https://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/52852023-06-20T21:59:24Z
dc.title.none.fl_str_mv Exploring parameter spaces in complex dynamics
title Exploring parameter spaces in complex dynamics
spellingShingle Exploring parameter spaces in complex dynamics
Suárez Navarro, Pedro Iván
Complex dynamics
Blaschke products
Mandelbrot set
Julia set
title_short Exploring parameter spaces in complex dynamics
title_full Exploring parameter spaces in complex dynamics
title_fullStr Exploring parameter spaces in complex dynamics
title_full_unstemmed Exploring parameter spaces in complex dynamics
title_sort Exploring parameter spaces in complex dynamics
dc.creator.none.fl_str_mv Suárez Navarro, Pedro Iván
author Suárez Navarro, Pedro Iván
author_facet Suárez Navarro, Pedro Iván
author_role author
dc.subject.none.fl_str_mv Complex dynamics
Blaschke products
Mandelbrot set
Julia set
topic Complex dynamics
Blaschke products
Mandelbrot set
Julia set
description We show the structure of the parameter space for a family of rational maps containing Blaschke products. Through numerical simulations using the orbit of a single critical point, we reveal the existence of infinitely many Mandelbrot-like sets along the unit circle, as well as eight-like structures in other regions of parameter space. We pose some open questions related to the parameter space of these functions.
publishDate 2023
dc.date.none.fl_str_mv 2023-06-14
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://revistas.unitru.edu.pe/index.php/SSMM/article/view/5285
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/5285
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/5285/5453
dc.rights.none.fl_str_mv https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
dc.source.none.fl_str_mv Selecciones Matemáticas; Vol. 10 No. 01 (2023): Special Issue; 60 - 68
Selecciones Matemáticas; Vol. 10 Núm. 01 (2023): Special Issue; 60 - 68
Selecciones Matemáticas; v. 10 n. 01 (2023): Special Issue; 60 - 68
2411-1783
reponame:Revistas - Universidad Nacional de Trujillo
instname:Universidad Nacional de Trujillo
instacron:UNITRU
instname_str Universidad Nacional de Trujillo
instacron_str UNITRU
institution UNITRU
reponame_str Revistas - Universidad Nacional de Trujillo
collection Revistas - Universidad Nacional de Trujillo
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 13.366051
Exploring parameter spaces in complex dynamics
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