Controlling intermediate dynamics in a family of quadratic maps
Main Author: | |
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Publication Date: | 2017 |
Other Authors: | , |
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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1842258080913424384 |