A Bifurcation Approach to the Synchronization of Coupled Van der Pol Oscillators

Autores
Paccosi, Ruben Gustavo; Figliola, Maria Alejandra; Galan Vioque, Jorge
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We undertake a bifurcation analysis of a velocity coupled system of two classical nonidentical Vander Pol oscillators to understand the appearance and structure of 1:kparameter regions with syn-chronized states as we vary the coupling and the frequency mismatch. These regions include multi-stability of solutions and are formed by classical tongues bordered by curves of limit point bifurcationof periodic orbits with an isola structure and an additional subregion surrounded by curves of torusbifurcations and a curve characterized by a geometrical tangency condition. Symmetry argumentsexplain the difference between the even and oddkcases.
Fil: Paccosi, Ruben Gustavo. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina
Fil: Figliola, Maria Alejandra. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina
Fil: Galan Vioque, Jorge. Universidad de Sevilla; España
Materia
Oscillator Synchronization
Bifurcation of Periodic Orbits
Numerical Continuation
Synchronization Tongues
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:11336/35945
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/35945
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A Bifurcation Approach to the Synchronization of Coupled Van der Pol OscillatorsPaccosi, Ruben GustavoFigliola, Maria AlejandraGalan Vioque, JorgeOscillator SynchronizationBifurcation of Periodic OrbitsNumerical ContinuationSynchronization Tongueshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We undertake a bifurcation analysis of a velocity coupled system of two classical nonidentical Vander Pol oscillators to understand the appearance and structure of 1:kparameter regions with syn-chronized states as we vary the coupling and the frequency mismatch. These regions include multi-stability of solutions and are formed by classical tongues bordered by curves of limit point bifurcationof periodic orbits with an isola structure and an additional subregion surrounded by curves of torusbifurcations and a curve characterized by a geometrical tangency condition. Symmetry argumentsexplain the difference between the even and oddkcases.Fil: Paccosi, Ruben Gustavo. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; ArgentinaFil: Figliola, Maria Alejandra. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; ArgentinaFil: Galan Vioque, Jorge. Universidad de Sevilla; EspañaSociety for Industrial and Applied Mathematics2014-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/35945Paccosi, Ruben Gustavo; Figliola, Maria Alejandra; Galan Vioque, Jorge; A Bifurcation Approach to the Synchronization of Coupled Van der Pol Oscillators; Society for Industrial and Applied Mathematics; Siam Journal On Applied Dynamical Systems; 13; 3; 7-2014; 1152-11671536-0040CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1137/130926602info:eu-repo/semantics/altIdentifier/url/http://epubs.siam.org/doi/10.1137/130926602info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:29:06Zoai:ri.conicet.gov.ar:11336/35945instacron: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:34982025-09-29 10:29:06.722CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A Bifurcation Approach to the Synchronization of Coupled Van der Pol Oscillators
title A Bifurcation Approach to the Synchronization of Coupled Van der Pol Oscillators
spellingShingle A Bifurcation Approach to the Synchronization of Coupled Van der Pol Oscillators
Paccosi, Ruben Gustavo
Oscillator Synchronization
Bifurcation of Periodic Orbits
Numerical Continuation
Synchronization Tongues
title_short A Bifurcation Approach to the Synchronization of Coupled Van der Pol Oscillators
title_full A Bifurcation Approach to the Synchronization of Coupled Van der Pol Oscillators
title_fullStr A Bifurcation Approach to the Synchronization of Coupled Van der Pol Oscillators
title_full_unstemmed A Bifurcation Approach to the Synchronization of Coupled Van der Pol Oscillators
title_sort A Bifurcation Approach to the Synchronization of Coupled Van der Pol Oscillators
dc.creator.none.fl_str_mv Paccosi, Ruben Gustavo
Figliola, Maria Alejandra
Galan Vioque, Jorge
author Paccosi, Ruben Gustavo
author_facet Paccosi, Ruben Gustavo
Figliola, Maria Alejandra
Galan Vioque, Jorge
author_role author
author2 Figliola, Maria Alejandra
Galan Vioque, Jorge
author2_role author
author
dc.subject.none.fl_str_mv Oscillator Synchronization
Bifurcation of Periodic Orbits
Numerical Continuation
Synchronization Tongues
topic Oscillator Synchronization
Bifurcation of Periodic Orbits
Numerical Continuation
Synchronization Tongues
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 undertake a bifurcation analysis of a velocity coupled system of two classical nonidentical Vander Pol oscillators to understand the appearance and structure of 1:kparameter regions with syn-chronized states as we vary the coupling and the frequency mismatch. These regions include multi-stability of solutions and are formed by classical tongues bordered by curves of limit point bifurcationof periodic orbits with an isola structure and an additional subregion surrounded by curves of torusbifurcations and a curve characterized by a geometrical tangency condition. Symmetry argumentsexplain the difference between the even and oddkcases.
Fil: Paccosi, Ruben Gustavo. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina
Fil: Figliola, Maria Alejandra. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina
Fil: Galan Vioque, Jorge. Universidad de Sevilla; España
description We undertake a bifurcation analysis of a velocity coupled system of two classical nonidentical Vander Pol oscillators to understand the appearance and structure of 1:kparameter regions with syn-chronized states as we vary the coupling and the frequency mismatch. These regions include multi-stability of solutions and are formed by classical tongues bordered by curves of limit point bifurcationof periodic orbits with an isola structure and an additional subregion surrounded by curves of torusbifurcations and a curve characterized by a geometrical tangency condition. Symmetry argumentsexplain the difference between the even and oddkcases.
publishDate 2014
dc.date.none.fl_str_mv 2014-07
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/11336/35945
Paccosi, Ruben Gustavo; Figliola, Maria Alejandra; Galan Vioque, Jorge; A Bifurcation Approach to the Synchronization of Coupled Van der Pol Oscillators; Society for Industrial and Applied Mathematics; Siam Journal On Applied Dynamical Systems; 13; 3; 7-2014; 1152-1167
1536-0040
CONICET Digital
CONICET
url http://hdl.handle.net/11336/35945
identifier_str_mv Paccosi, Ruben Gustavo; Figliola, Maria Alejandra; Galan Vioque, Jorge; A Bifurcation Approach to the Synchronization of Coupled Van der Pol Oscillators; Society for Industrial and Applied Mathematics; Siam Journal On Applied Dynamical Systems; 13; 3; 7-2014; 1152-1167
1536-0040
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1137/130926602
info:eu-repo/semantics/altIdentifier/url/http://epubs.siam.org/doi/10.1137/130926602
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 Society for Industrial and Applied Mathematics
publisher.none.fl_str_mv Society for Industrial and Applied Mathematics
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
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score 13.070432

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