Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency Domain

Autores
Bel, Andrea Liliana; Reartes, Walter; Torresi, Ana María Luján
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work we study local oscillations in delay differential equations with a frequency domain methodology. The main result is a bifurcation equation from which the existence and expressions of local periodic solutions can be determined. We present an iterative method to obtain the bifurcation equation up to a fixed arbitrary order. It is shown how this method can be implemented in symbolic math programs.
Fil: Bel, Andrea Liliana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Reartes, Walter. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Torresi, Ana María Luján. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Materia
BIFURCATIONS OF PERIODIC SOLUTIONS
DELAY DIFFERENTIAL EQUATIONS
FREQUENCY DOMAIN METHOD
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:11336/51688
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/51688
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency DomainBel, Andrea LilianaReartes, WalterTorresi, Ana María LujánBIFURCATIONS OF PERIODIC SOLUTIONSDELAY DIFFERENTIAL EQUATIONSFREQUENCY DOMAIN METHODhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this work we study local oscillations in delay differential equations with a frequency domain methodology. The main result is a bifurcation equation from which the existence and expressions of local periodic solutions can be determined. We present an iterative method to obtain the bifurcation equation up to a fixed arbitrary order. It is shown how this method can be implemented in symbolic math programs.Fil: Bel, Andrea Liliana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; ArgentinaFil: Reartes, Walter. Universidad Nacional del Sur. Departamento de Matemática; ArgentinaFil: Torresi, Ana María Luján. Universidad Nacional del Sur. Departamento de Matemática; ArgentinaWorld Scientific2016-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/51688Bel, Andrea Liliana; Reartes, Walter; Torresi, Ana María Luján; Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency Domain; World Scientific; International Journal Of Bifurcation And Chaos; 26; 14; 12-2016; 1-160218-1274CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1142/S0218127416502382info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0218127416502382info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1609.07763info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-29T11:55:10Zoai:ri.conicet.gov.ar:11336/51688instacron: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:34982025-10-29 11:55:10.747CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency Domain
title Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency Domain
spellingShingle Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency Domain
Bel, Andrea Liliana
BIFURCATIONS OF PERIODIC SOLUTIONS
DELAY DIFFERENTIAL EQUATIONS
FREQUENCY DOMAIN METHOD
title_short Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency Domain
title_full Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency Domain
title_fullStr Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency Domain
title_full_unstemmed Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency Domain
title_sort Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency Domain
dc.creator.none.fl_str_mv Bel, Andrea Liliana
Reartes, Walter
Torresi, Ana María Luján
author Bel, Andrea Liliana
author_facet Bel, Andrea Liliana
Reartes, Walter
Torresi, Ana María Luján
author_role author
author2 Reartes, Walter
Torresi, Ana María Luján
author2_role author
author
dc.subject.none.fl_str_mv BIFURCATIONS OF PERIODIC SOLUTIONS
DELAY DIFFERENTIAL EQUATIONS
FREQUENCY DOMAIN METHOD
topic BIFURCATIONS OF PERIODIC SOLUTIONS
DELAY DIFFERENTIAL EQUATIONS
FREQUENCY DOMAIN METHOD
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this work we study local oscillations in delay differential equations with a frequency domain methodology. The main result is a bifurcation equation from which the existence and expressions of local periodic solutions can be determined. We present an iterative method to obtain the bifurcation equation up to a fixed arbitrary order. It is shown how this method can be implemented in symbolic math programs.
Fil: Bel, Andrea Liliana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Reartes, Walter. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Torresi, Ana María Luján. Universidad Nacional del Sur. Departamento de Matemática; Argentina
description In this work we study local oscillations in delay differential equations with a frequency domain methodology. The main result is a bifurcation equation from which the existence and expressions of local periodic solutions can be determined. We present an iterative method to obtain the bifurcation equation up to a fixed arbitrary order. It is shown how this method can be implemented in symbolic math programs.
publishDate 2016
dc.date.none.fl_str_mv 2016-12
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/11336/51688
Bel, Andrea Liliana; Reartes, Walter; Torresi, Ana María Luján; Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency Domain; World Scientific; International Journal Of Bifurcation And Chaos; 26; 14; 12-2016; 1-16
0218-1274
CONICET Digital
CONICET
url http://hdl.handle.net/11336/51688
identifier_str_mv Bel, Andrea Liliana; Reartes, Walter; Torresi, Ana María Luján; Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency Domain; World Scientific; International Journal Of Bifurcation And Chaos; 26; 14; 12-2016; 1-16
0218-1274
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1142/S0218127416502382
info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0218127416502382
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1609.07763
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
application/pdf
dc.publisher.none.fl_str_mv World Scientific
publisher.none.fl_str_mv World Scientific
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_ 1847426667823235072
score 13.10058

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