Fractional damping induces resonant behavior in the Duffing oscillator

In this study, we investigate the influence of the fractional order parameter and damping parameter interaction on the dynamics of the Duffing oscillator. Our research reveals that specific combinations of the fractional order parameter, damping parameter, and forcing amplitude can lead to the induc...

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Detalles Bibliográficos
Autores: Coccolo, Mattia, Seoane, Jesús, Sanjuán, Miguel Ángel
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universidad Rey Juan Carlos
Repositorio:BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos
OAI Identifier:oai:burjcdigital.urjc.es:10115/32220
Acceso en línea:https://hdl.handle.net/10115/32220
Access Level:acceso abierto
Palabra clave:Resonance
Nonlinear Dynamics
fractional Duffing
fractional resonance
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spelling Fractional damping induces resonant behavior in the Duffing oscillatorCoccolo, MattiaSeoane, JesúsSanjuán, Miguel ÁngelResonanceNonlinear Dynamicsfractional Duffingfractional resonanceIn this study, we investigate the influence of the fractional order parameter and damping parameter interaction on the dynamics of the Duffing oscillator. Our research reveals that specific combinations of the fractional order parameter, damping parameter, and forcing amplitude can lead to the induction of high oscillation amplitudes. This effect arises from the emergence of resonance in the Duffing oscillator, which occurs exclusively when the damping term is fractional.This work has been supported by the Spanish State Research Agency (AEI) and the European Regional Development Fund (ERDF, EU) under Project No. PID2019-105554GB-I00 (MCIN/AEI/10.13039/501100011033)The interaction between the fractional order parameter and the damping parameter can play a relevant role for introducing different dynamical behaviors in a physical system. Here, we study the Duffing oscillator with a fractional damping term. Our findings show that for certain values of the fractional order parameter, the damping parameter, and the forcing amplitude high oscillations amplitude can be induced. This phenomenon is due to the appearance of a resonance in the Duffing oscillator only when the damping term is fractional.Elsevier202420242024info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10115/32220reponame:BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlosinstname:Universidad Rey Juan CarlosInglésAttribution 4.0 Internationalhttps://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:burjcdigital.urjc.es:10115/322202026-06-24T12:48:17Z
dc.title.none.fl_str_mv Fractional damping induces resonant behavior in the Duffing oscillator
title Fractional damping induces resonant behavior in the Duffing oscillator
spellingShingle Fractional damping induces resonant behavior in the Duffing oscillator
Coccolo, Mattia
Resonance
Nonlinear Dynamics
fractional Duffing
fractional resonance
title_short Fractional damping induces resonant behavior in the Duffing oscillator
title_full Fractional damping induces resonant behavior in the Duffing oscillator
title_fullStr Fractional damping induces resonant behavior in the Duffing oscillator
title_full_unstemmed Fractional damping induces resonant behavior in the Duffing oscillator
title_sort Fractional damping induces resonant behavior in the Duffing oscillator
dc.creator.none.fl_str_mv Coccolo, Mattia
Seoane, Jesús
Sanjuán, Miguel Ángel
author Coccolo, Mattia
author_facet Coccolo, Mattia
Seoane, Jesús
Sanjuán, Miguel Ángel
author_role author
author2 Seoane, Jesús
Sanjuán, Miguel Ángel
author2_role author
author
dc.subject.none.fl_str_mv Resonance
Nonlinear Dynamics
fractional Duffing
fractional resonance
topic Resonance
Nonlinear Dynamics
fractional Duffing
fractional resonance
description In this study, we investigate the influence of the fractional order parameter and damping parameter interaction on the dynamics of the Duffing oscillator. Our research reveals that specific combinations of the fractional order parameter, damping parameter, and forcing amplitude can lead to the induction of high oscillation amplitudes. This effect arises from the emergence of resonance in the Duffing oscillator, which occurs exclusively when the damping term is fractional.
publishDate 2024
dc.date.none.fl_str_mv 2024
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/10115/32220
url https://hdl.handle.net/10115/32220
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv Attribution 4.0 International
https://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution 4.0 International
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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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