Bogdanov–Takens resonance in time-delayed systems

The study investigates the oscillatory behavior of a dynamical system with time delay under periodic external forcing. It reveals that specific delay values can significantly amplify the system's response even with a minimal external force. This phenomenon is attributed to the presence of a Bog...

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Detalles Bibliográficos
Autores: Coccolo Bosio, Mattia Tommaso, Zhu, BeiBei, Fernandez Sanjuán, Miguel Ángel, Sanz-Serna, Jesús Miguel
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universidad Rey Juan Carlos
Repositorio:BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos
OAI Identifier:oai:burjcdigital.urjc.es:10115/32164
Acceso en línea:https://hdl.handle.net/10115/32164
Access Level:acceso abierto
Palabra clave:Nonlinear Dynamics
Bifurcation
resonance
El niño oscillator
Delay
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spelling Bogdanov–Takens resonance in time-delayed systemsCoccolo Bosio, Mattia TommasoZhu, BeiBeiFernandez Sanjuán, Miguel ÁngelSanz-Serna, Jesús MiguelNonlinear DynamicsBifurcationresonanceEl niño oscillatorDelayThe study investigates the oscillatory behavior of a dynamical system with time delay under periodic external forcing. It reveals that specific delay values can significantly amplify the system's response even with a minimal external force. This phenomenon is attributed to the presence of a Bogdanov-Takens bifurcation. While it shares similarities with other resonance phenomena, it also exhibits notable differences.We analyze the oscillatory dynamics of a time-delayed dynamical system subjected to a periodic external forcing. We show that, for certain values of the delay, the response can be greatly enhanced by a very small forcing amplitude. This phenomenon is related to the presence of a Bogdanov–Takens bifurcation and displays some analogies to other resonance phenomena, but also substantial differences.SpringerLink202420242017info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10115/32164reponame:BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlosinstname:Universidad Rey Juan CarlosIngléscop. Springerhttps://www.springernature.com/gp/open-research/policies/accepted-manuscript-termsinfo:eu-repo/semantics/openAccessoai:burjcdigital.urjc.es:10115/321642026-06-24T12:48:17Z
dc.title.none.fl_str_mv Bogdanov–Takens resonance in time-delayed systems
title Bogdanov–Takens resonance in time-delayed systems
spellingShingle Bogdanov–Takens resonance in time-delayed systems
Coccolo Bosio, Mattia Tommaso
Nonlinear Dynamics
Bifurcation
resonance
El niño oscillator
Delay
title_short Bogdanov–Takens resonance in time-delayed systems
title_full Bogdanov–Takens resonance in time-delayed systems
title_fullStr Bogdanov–Takens resonance in time-delayed systems
title_full_unstemmed Bogdanov–Takens resonance in time-delayed systems
title_sort Bogdanov–Takens resonance in time-delayed systems
dc.creator.none.fl_str_mv Coccolo Bosio, Mattia Tommaso
Zhu, BeiBei
Fernandez Sanjuán, Miguel Ángel
Sanz-Serna, Jesús Miguel
author Coccolo Bosio, Mattia Tommaso
author_facet Coccolo Bosio, Mattia Tommaso
Zhu, BeiBei
Fernandez Sanjuán, Miguel Ángel
Sanz-Serna, Jesús Miguel
author_role author
author2 Zhu, BeiBei
Fernandez Sanjuán, Miguel Ángel
Sanz-Serna, Jesús Miguel
author2_role author
author
author
dc.subject.none.fl_str_mv Nonlinear Dynamics
Bifurcation
resonance
El niño oscillator
Delay
topic Nonlinear Dynamics
Bifurcation
resonance
El niño oscillator
Delay
description The study investigates the oscillatory behavior of a dynamical system with time delay under periodic external forcing. It reveals that specific delay values can significantly amplify the system's response even with a minimal external force. This phenomenon is attributed to the presence of a Bogdanov-Takens bifurcation. While it shares similarities with other resonance phenomena, it also exhibits notable differences.
publishDate 2017
dc.date.none.fl_str_mv 2017
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10115/32164
url https://hdl.handle.net/10115/32164
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv cop. Springer
https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cop. Springer
https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv SpringerLink
publisher.none.fl_str_mv SpringerLink
dc.source.none.fl_str_mv reponame:BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos
instname:Universidad Rey Juan Carlos
instname_str Universidad Rey Juan Carlos
reponame_str BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos
collection BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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