Synchronization of a forced self-sustained Duffing oscillator

Autores
Zanette, Damian Horacio; Arroyo, Sebastián Ismael
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the dynamics of a mechanical oscillator with linear and cubic forces – the Duffing oscillator — subject to a feedback mechanism that allows the system to sustain autonomous periodic motion with well-defined amplitude and frequency. First, we characterize the autonomous motion for both hardening and softening nonlinearities. Then, we analyze the oscillator’s synchronizability by an external periodic force. We find a regime where, unexpectedly, the frequency range where synchronized motion is possible becomes wider as the amplitude of oscillations grows. This effect of nonlinearities may find application in technological uses of mechanical Duffing oscillators – for instance, in the design of time-keeping devices at the microscale – which we briefly review.
Fil: Zanette, Damian Horacio. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Arroyo, Sebastián Ismael. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Synchronization
Duffing Oscillator
Microdevices
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/34309
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/34309
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Synchronization of a forced self-sustained Duffing oscillatorZanette, Damian HoracioArroyo, Sebastián IsmaelSynchronizationDuffing OscillatorMicrodeviceshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the dynamics of a mechanical oscillator with linear and cubic forces – the Duffing oscillator — subject to a feedback mechanism that allows the system to sustain autonomous periodic motion with well-defined amplitude and frequency. First, we characterize the autonomous motion for both hardening and softening nonlinearities. Then, we analyze the oscillator’s synchronizability by an external periodic force. We find a regime where, unexpectedly, the frequency range where synchronized motion is possible becomes wider as the amplitude of oscillations grows. This effect of nonlinearities may find application in technological uses of mechanical Duffing oscillators – for instance, in the design of time-keeping devices at the microscale – which we briefly review.Fil: Zanette, Damian Horacio. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Arroyo, Sebastián Ismael. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaEDP Sciences2014-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/34309Zanette, Damian Horacio; Arroyo, Sebastián Ismael; Synchronization of a forced self-sustained Duffing oscillator; EDP Sciences; European Physical Journal: Special Topics; 223; 13; 12-2014; 2807-28171951-63551951-6401CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1140/epjst/e2014-02294-7info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1140%2Fepjst%2Fe2014-02294-7info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-17T10:52:57Zoai:ri.conicet.gov.ar:11336/34309instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-17 10:52:57.462CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Synchronization of a forced self-sustained Duffing oscillator
title Synchronization of a forced self-sustained Duffing oscillator
spellingShingle Synchronization of a forced self-sustained Duffing oscillator
Zanette, Damian Horacio
Synchronization
Duffing Oscillator
Microdevices
title_short Synchronization of a forced self-sustained Duffing oscillator
title_full Synchronization of a forced self-sustained Duffing oscillator
title_fullStr Synchronization of a forced self-sustained Duffing oscillator
title_full_unstemmed Synchronization of a forced self-sustained Duffing oscillator
title_sort Synchronization of a forced self-sustained Duffing oscillator
dc.creator.none.fl_str_mv Zanette, Damian Horacio
Arroyo, Sebastián Ismael
author Zanette, Damian Horacio
author_facet Zanette, Damian Horacio
Arroyo, Sebastián Ismael
author_role author
author2 Arroyo, Sebastián Ismael
author2_role author
dc.subject.none.fl_str_mv Synchronization
Duffing Oscillator
Microdevices
topic Synchronization
Duffing Oscillator
Microdevices
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the dynamics of a mechanical oscillator with linear and cubic forces – the Duffing oscillator — subject to a feedback mechanism that allows the system to sustain autonomous periodic motion with well-defined amplitude and frequency. First, we characterize the autonomous motion for both hardening and softening nonlinearities. Then, we analyze the oscillator’s synchronizability by an external periodic force. We find a regime where, unexpectedly, the frequency range where synchronized motion is possible becomes wider as the amplitude of oscillations grows. This effect of nonlinearities may find application in technological uses of mechanical Duffing oscillators – for instance, in the design of time-keeping devices at the microscale – which we briefly review.
Fil: Zanette, Damian Horacio. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Arroyo, Sebastián Ismael. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We study the dynamics of a mechanical oscillator with linear and cubic forces – the Duffing oscillator — subject to a feedback mechanism that allows the system to sustain autonomous periodic motion with well-defined amplitude and frequency. First, we characterize the autonomous motion for both hardening and softening nonlinearities. Then, we analyze the oscillator’s synchronizability by an external periodic force. We find a regime where, unexpectedly, the frequency range where synchronized motion is possible becomes wider as the amplitude of oscillations grows. This effect of nonlinearities may find application in technological uses of mechanical Duffing oscillators – for instance, in the design of time-keeping devices at the microscale – which we briefly review.
publishDate 2014
dc.date.none.fl_str_mv 2014-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/34309
Zanette, Damian Horacio; Arroyo, Sebastián Ismael; Synchronization of a forced self-sustained Duffing oscillator; EDP Sciences; European Physical Journal: Special Topics; 223; 13; 12-2014; 2807-2817
1951-6355
1951-6401
CONICET Digital
CONICET
url http://hdl.handle.net/11336/34309
identifier_str_mv Zanette, Damian Horacio; Arroyo, Sebastián Ismael; Synchronization of a forced self-sustained Duffing oscillator; EDP Sciences; European Physical Journal: Special Topics; 223; 13; 12-2014; 2807-2817
1951-6355
1951-6401
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1140/epjst/e2014-02294-7
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1140%2Fepjst%2Fe2014-02294-7
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv EDP Sciences
publisher.none.fl_str_mv EDP Sciences
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1843606167271505920
score 13.001348

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