From mandelbrot-like sets to arnold tongues

Detalhes bibliográficos
Autor(a) principal: Endler A.
Data de Publicação: 2013
Outros Autores: Rech P.C.*
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da Udesc
dARK ID: ark:/33523/0013000003x7s
Texto Completo: https://repositorio.udesc.br/handle/UDESC/8811
Resumo: A transition from Mandelbrot-like sets to Arnold tongues is characterized via a coupling of two non-identical quadratic maps proposed by us. A two-dimensional parameter-space considering the parameters of the individual quadratic maps was used to demonstrate numerically the event. The location of the parameter sets where Naimark-Sacker bifurcations occur, which is exactly the place where Arnold tongues of arbitrary periods are born, was computed analytically. © 2013 Elsevier Ltd. All rights reserved.
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spelling From mandelbrot-like sets to arnold tonguesA transition from Mandelbrot-like sets to Arnold tongues is characterized via a coupling of two non-identical quadratic maps proposed by us. A two-dimensional parameter-space considering the parameters of the individual quadratic maps was used to demonstrate numerically the event. The location of the parameter sets where Naimark-Sacker bifurcations occur, which is exactly the place where Arnold tongues of arbitrary periods are born, was computed analytically. © 2013 Elsevier Ltd. All rights reserved.2024-12-06T14:31:24Z2013info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlep. 559 - 5630096-300310.1016/j.amc.2013.08.001https://repositorio.udesc.br/handle/UDESC/8811ark:/33523/0013000003x7sApplied Mathematics and Computation222Endler A.Rech P.C.*engreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T20:58:57Zoai:repositorio.udesc.br:UDESC/8811Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T20:58:57Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv From mandelbrot-like sets to arnold tongues
title From mandelbrot-like sets to arnold tongues
spellingShingle From mandelbrot-like sets to arnold tongues
Endler A.
title_short From mandelbrot-like sets to arnold tongues
title_full From mandelbrot-like sets to arnold tongues
title_fullStr From mandelbrot-like sets to arnold tongues
title_full_unstemmed From mandelbrot-like sets to arnold tongues
title_sort From mandelbrot-like sets to arnold tongues
author Endler A.
author_facet Endler A.
Rech P.C.*
author_role author
author2 Rech P.C.*
author2_role author
dc.contributor.author.fl_str_mv Endler A.
Rech P.C.*
description A transition from Mandelbrot-like sets to Arnold tongues is characterized via a coupling of two non-identical quadratic maps proposed by us. A two-dimensional parameter-space considering the parameters of the individual quadratic maps was used to demonstrate numerically the event. The location of the parameter sets where Naimark-Sacker bifurcations occur, which is exactly the place where Arnold tongues of arbitrary periods are born, was computed analytically. © 2013 Elsevier Ltd. All rights reserved.
publishDate 2013
dc.date.none.fl_str_mv 2013
2024-12-06T14:31:24Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv 0096-3003
10.1016/j.amc.2013.08.001
https://repositorio.udesc.br/handle/UDESC/8811
dc.identifier.dark.fl_str_mv ark:/33523/0013000003x7s
identifier_str_mv 0096-3003
10.1016/j.amc.2013.08.001
ark:/33523/0013000003x7s
url https://repositorio.udesc.br/handle/UDESC/8811
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Applied Mathematics and Computation
222
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv p. 559 - 563
dc.source.none.fl_str_mv reponame:Repositório Institucional da Udesc
instname:Universidade do Estado de Santa Catarina (UDESC)
instacron:UDESC
instname_str Universidade do Estado de Santa Catarina (UDESC)
instacron_str UDESC
institution UDESC
reponame_str Repositório Institucional da Udesc
collection Repositório Institucional da Udesc
repository.name.fl_str_mv Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)
repository.mail.fl_str_mv ri@udesc.br
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