Periodicity suppression in continuous-time dynamical systems by external forcing

Detalhes bibliográficos
Autor(a) principal: Mathias A.C.*
Data de Publicação: 2012
Outros Autores: Rech P.C.*
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da Udesc
dARK ID: ark:/33523/001300000sbss
Texto Completo: https://repositorio.udesc.br/handle/UDESC/9146
Resumo: We investigate periodicity suppression by an external periodic forcing in different flows, each modeled by a set of three autonomous nonlinear first-order ordinary differential equations. By varying the amplitude of a sinusoidal forcing with a fixed angular frequency, we show through numerical simulations, including parameter planes plots, phase-space portraits, and the largest Lyapunov exponent, that windows of periodicity embedded in chaotic regions may be totally suppressed. © 2012 American Institute of Physics.
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spelling Periodicity suppression in continuous-time dynamical systems by external forcingWe investigate periodicity suppression by an external periodic forcing in different flows, each modeled by a set of three autonomous nonlinear first-order ordinary differential equations. By varying the amplitude of a sinusoidal forcing with a fixed angular frequency, we show through numerical simulations, including parameter planes plots, phase-space portraits, and the largest Lyapunov exponent, that windows of periodicity embedded in chaotic regions may be totally suppressed. © 2012 American Institute of Physics.2024-12-06T19:05:50Z2012info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1054-150010.1063/1.4772968https://repositorio.udesc.br/handle/UDESC/9146ark:/33523/001300000sbssChaos224Mathias A.C.*Rech P.C.*engreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T21:01:07Zoai:repositorio.udesc.br:UDESC/9146Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T21:01:07Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv Periodicity suppression in continuous-time dynamical systems by external forcing
title Periodicity suppression in continuous-time dynamical systems by external forcing
spellingShingle Periodicity suppression in continuous-time dynamical systems by external forcing
Mathias A.C.*
title_short Periodicity suppression in continuous-time dynamical systems by external forcing
title_full Periodicity suppression in continuous-time dynamical systems by external forcing
title_fullStr Periodicity suppression in continuous-time dynamical systems by external forcing
title_full_unstemmed Periodicity suppression in continuous-time dynamical systems by external forcing
title_sort Periodicity suppression in continuous-time dynamical systems by external forcing
author Mathias A.C.*
author_facet Mathias A.C.*
Rech P.C.*
author_role author
author2 Rech P.C.*
author2_role author
dc.contributor.author.fl_str_mv Mathias A.C.*
Rech P.C.*
description We investigate periodicity suppression by an external periodic forcing in different flows, each modeled by a set of three autonomous nonlinear first-order ordinary differential equations. By varying the amplitude of a sinusoidal forcing with a fixed angular frequency, we show through numerical simulations, including parameter planes plots, phase-space portraits, and the largest Lyapunov exponent, that windows of periodicity embedded in chaotic regions may be totally suppressed. © 2012 American Institute of Physics.
publishDate 2012
dc.date.none.fl_str_mv 2012
2024-12-06T19:05:50Z
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
10.1063/1.4772968
https://repositorio.udesc.br/handle/UDESC/9146
dc.identifier.dark.fl_str_mv ark:/33523/001300000sbss
identifier_str_mv 1054-1500
10.1063/1.4772968
ark:/33523/001300000sbss
url https://repositorio.udesc.br/handle/UDESC/9146
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Chaos
22
4
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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