Effects of time-delayed feedback on the properties of self-sustained oscillators

Autores
Risau Gusman, Sebastian Luis
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Most self-sustained oscillations in biological systems and in technical applications are based on a feedback loop, and it is usually important to know how they will react when an external oscillatory force is applied. Here we investigate the effects that the introduction of a time delay in the feedback can have in the entrainment properties of self-sustained oscillators. To do this, we derive analytic expressions for the periodic trajectories and their asymptotic stability, for a generic external oscillatory force. This allows us to show that, for large quality factors, the resonance frequency does not depend on the feedback delay. When the external force is harmonic, it is shown that the largest entrainment range does not correspond to the time delay that gives the maximal response of the unforced oscillator. In fact, that delay gives the shortest entrainment range.
Fil: Risau Gusman, Sebastian Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Materia
Dynamical Systems
Oscillations
Synchronizations
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:11336/74506
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Effects of time-delayed feedback on the properties of self-sustained oscillatorsRisau Gusman, Sebastian LuisDynamical SystemsOscillationsSynchronizationshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Most self-sustained oscillations in biological systems and in technical applications are based on a feedback loop, and it is usually important to know how they will react when an external oscillatory force is applied. Here we investigate the effects that the introduction of a time delay in the feedback can have in the entrainment properties of self-sustained oscillators. To do this, we derive analytic expressions for the periodic trajectories and their asymptotic stability, for a generic external oscillatory force. This allows us to show that, for large quality factors, the resonance frequency does not depend on the feedback delay. When the external force is harmonic, it is shown that the largest entrainment range does not correspond to the time delay that gives the maximal response of the unforced oscillator. In fact, that delay gives the shortest entrainment range.Fil: Risau Gusman, Sebastian Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; ArgentinaAmerican Physical Society2016-10-18info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/74506Risau Gusman, Sebastian Luis; Effects of time-delayed feedback on the properties of self-sustained oscillators; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 94; 4; 18-10-2016; 042212-1/91539-37552470-0053CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.94.042212info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.94.042212info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:07:00Zoai:ri.conicet.gov.ar:11336/74506instacron: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:34982025-10-22 12:07:00.3CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Effects of time-delayed feedback on the properties of self-sustained oscillators
title Effects of time-delayed feedback on the properties of self-sustained oscillators
spellingShingle Effects of time-delayed feedback on the properties of self-sustained oscillators
Risau Gusman, Sebastian Luis
Dynamical Systems
Oscillations
Synchronizations
title_short Effects of time-delayed feedback on the properties of self-sustained oscillators
title_full Effects of time-delayed feedback on the properties of self-sustained oscillators
title_fullStr Effects of time-delayed feedback on the properties of self-sustained oscillators
title_full_unstemmed Effects of time-delayed feedback on the properties of self-sustained oscillators
title_sort Effects of time-delayed feedback on the properties of self-sustained oscillators
dc.creator.none.fl_str_mv Risau Gusman, Sebastian Luis
author Risau Gusman, Sebastian Luis
author_facet Risau Gusman, Sebastian Luis
author_role author
dc.subject.none.fl_str_mv Dynamical Systems
Oscillations
Synchronizations
topic Dynamical Systems
Oscillations
Synchronizations
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Most self-sustained oscillations in biological systems and in technical applications are based on a feedback loop, and it is usually important to know how they will react when an external oscillatory force is applied. Here we investigate the effects that the introduction of a time delay in the feedback can have in the entrainment properties of self-sustained oscillators. To do this, we derive analytic expressions for the periodic trajectories and their asymptotic stability, for a generic external oscillatory force. This allows us to show that, for large quality factors, the resonance frequency does not depend on the feedback delay. When the external force is harmonic, it is shown that the largest entrainment range does not correspond to the time delay that gives the maximal response of the unforced oscillator. In fact, that delay gives the shortest entrainment range.
Fil: Risau Gusman, Sebastian Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
description Most self-sustained oscillations in biological systems and in technical applications are based on a feedback loop, and it is usually important to know how they will react when an external oscillatory force is applied. Here we investigate the effects that the introduction of a time delay in the feedback can have in the entrainment properties of self-sustained oscillators. To do this, we derive analytic expressions for the periodic trajectories and their asymptotic stability, for a generic external oscillatory force. This allows us to show that, for large quality factors, the resonance frequency does not depend on the feedback delay. When the external force is harmonic, it is shown that the largest entrainment range does not correspond to the time delay that gives the maximal response of the unforced oscillator. In fact, that delay gives the shortest entrainment range.
publishDate 2016
dc.date.none.fl_str_mv 2016-10-18
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/11336/74506
Risau Gusman, Sebastian Luis; Effects of time-delayed feedback on the properties of self-sustained oscillators; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 94; 4; 18-10-2016; 042212-1/9
1539-3755
2470-0053
CONICET Digital
CONICET
url http://hdl.handle.net/11336/74506
identifier_str_mv Risau Gusman, Sebastian Luis; Effects of time-delayed feedback on the properties of self-sustained oscillators; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 94; 4; 18-10-2016; 042212-1/9
1539-3755
2470-0053
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.94.042212
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.94.042212
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 American Physical Society
publisher.none.fl_str_mv American Physical Society
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_ 1846782431231737856
score 12.982451

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