Controlling intermediate dynamics in a family of quadratic maps

Bibliographic Details
Main Author: da Silva R.M.
Publication Date: 2017
Other Authors: Beims M.W., Manchein, Cesar
Format: Article
Language: eng
Source: Repositório Institucional da Udesc
dARK ID: ark:/33523/00130000035zx
Download full: https://repositorio.udesc.br/handle/UDESC/6809
Summary: The intermediate dynamics of composed one-dimensional maps is used to multiply attractors in phase space and create multiple independent bifurcation diagrams which can split apart. Results are shown for the composition of k-paradigmatic quadratic maps with distinct values of parameters generating k-independent bifurcation diagrams with corresponding k orbital points. For specific conditions, the basic mechanism for creating the shifted diagrams is the prohibition of period doubling bifurcations transformed in saddle-node bifurcations.
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spelling Controlling intermediate dynamics in a family of quadratic mapsThe intermediate dynamics of composed one-dimensional maps is used to multiply attractors in phase space and create multiple independent bifurcation diagrams which can split apart. Results are shown for the composition of k-paradigmatic quadratic maps with distinct values of parameters generating k-independent bifurcation diagrams with corresponding k orbital points. For specific conditions, the basic mechanism for creating the shifted diagrams is the prohibition of period doubling bifurcations transformed in saddle-node bifurcations.2024-12-06T13:12:03Z2017info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1054-150010.1063/1.4985331https://repositorio.udesc.br/handle/UDESC/6809ark:/33523/00130000035zxChaos2710da Silva R.M.Beims M.W.Manchein, Cesarengreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T20:52:07Zoai:repositorio.udesc.br:UDESC/6809Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T20:52:07Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv Controlling intermediate dynamics in a family of quadratic maps
title Controlling intermediate dynamics in a family of quadratic maps
spellingShingle Controlling intermediate dynamics in a family of quadratic maps
da Silva R.M.
title_short Controlling intermediate dynamics in a family of quadratic maps
title_full Controlling intermediate dynamics in a family of quadratic maps
title_fullStr Controlling intermediate dynamics in a family of quadratic maps
title_full_unstemmed Controlling intermediate dynamics in a family of quadratic maps
title_sort Controlling intermediate dynamics in a family of quadratic maps
author da Silva R.M.
author_facet da Silva R.M.
Beims M.W.
Manchein, Cesar
author_role author
author2 Beims M.W.
Manchein, Cesar
author2_role author
author
dc.contributor.author.fl_str_mv da Silva R.M.
Beims M.W.
Manchein, Cesar
description The intermediate dynamics of composed one-dimensional maps is used to multiply attractors in phase space and create multiple independent bifurcation diagrams which can split apart. Results are shown for the composition of k-paradigmatic quadratic maps with distinct values of parameters generating k-independent bifurcation diagrams with corresponding k orbital points. For specific conditions, the basic mechanism for creating the shifted diagrams is the prohibition of period doubling bifurcations transformed in saddle-node bifurcations.
publishDate 2017
dc.date.none.fl_str_mv 2017
2024-12-06T13:12:03Z
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 1054-1500
10.1063/1.4985331
https://repositorio.udesc.br/handle/UDESC/6809
dc.identifier.dark.fl_str_mv ark:/33523/00130000035zx
identifier_str_mv 1054-1500
10.1063/1.4985331
ark:/33523/00130000035zx
url https://repositorio.udesc.br/handle/UDESC/6809
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Chaos
27
10
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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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