On semi-analytical procedure for detecting limit cycle bifurcations

Autores
Robbio, Federico I.; Alonso, Diego; Moiola, Jorge Luis
Año de publicación
2004
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper reports some computation of periodic solutions arising from Hopf bifurcations in order to build up a more accurate procedure for semi-analytical approximations to detect limit cycle bifurcations. The approximation formulas are derived using nonlinear feedback systems theory and the harmonic balance method. The monodromy matrix is computed for several simple nonlinear flows to detect the first bifurcation of the cycles in the neighborhood of the original Hopf bifurcation.
Fil: Robbio, Federico I.. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras; Argentina
Fil: Alonso, Diego. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras; Argentina
Fil: Moiola, Jorge Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras; Argentina
Materia
MONODROMY MATRIX
HARMONIC BALANCE
LIMIT CYCLES
HOPF BIFURCATION
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:11336/104680
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/104680
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling On semi-analytical procedure for detecting limit cycle bifurcationsRobbio, Federico I.Alonso, DiegoMoiola, Jorge LuisMONODROMY MATRIXHARMONIC BALANCELIMIT CYCLESHOPF BIFURCATIONhttps://purl.org/becyt/ford/2.2https://purl.org/becyt/ford/2This paper reports some computation of periodic solutions arising from Hopf bifurcations in order to build up a more accurate procedure for semi-analytical approximations to detect limit cycle bifurcations. The approximation formulas are derived using nonlinear feedback systems theory and the harmonic balance method. The monodromy matrix is computed for several simple nonlinear flows to detect the first bifurcation of the cycles in the neighborhood of the original Hopf bifurcation.Fil: Robbio, Federico I.. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras; ArgentinaFil: Alonso, Diego. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras; ArgentinaFil: Moiola, Jorge Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras; ArgentinaWorld Scientific2004-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/104680Robbio, Federico I.; Alonso, Diego; Moiola, Jorge Luis; On semi-analytical procedure for detecting limit cycle bifurcations; World Scientific; International Journal Of Bifurcation And Chaos; 14; 03; 12-2004; 951-9700218-1274CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/10.1142/S0218127404009703info:eu-repo/semantics/altIdentifier/doi/10.1142/S0218127404009703info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:07:53Zoai:ri.conicet.gov.ar:11336/104680instacron: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 12:07:53.609CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On semi-analytical procedure for detecting limit cycle bifurcations
title On semi-analytical procedure for detecting limit cycle bifurcations
spellingShingle On semi-analytical procedure for detecting limit cycle bifurcations
Robbio, Federico I.
MONODROMY MATRIX
HARMONIC BALANCE
LIMIT CYCLES
HOPF BIFURCATION
title_short On semi-analytical procedure for detecting limit cycle bifurcations
title_full On semi-analytical procedure for detecting limit cycle bifurcations
title_fullStr On semi-analytical procedure for detecting limit cycle bifurcations
title_full_unstemmed On semi-analytical procedure for detecting limit cycle bifurcations
title_sort On semi-analytical procedure for detecting limit cycle bifurcations
dc.creator.none.fl_str_mv Robbio, Federico I.
Alonso, Diego
Moiola, Jorge Luis
author Robbio, Federico I.
author_facet Robbio, Federico I.
Alonso, Diego
Moiola, Jorge Luis
author_role author
author2 Alonso, Diego
Moiola, Jorge Luis
author2_role author
author
dc.subject.none.fl_str_mv MONODROMY MATRIX
HARMONIC BALANCE
LIMIT CYCLES
HOPF BIFURCATION
topic MONODROMY MATRIX
HARMONIC BALANCE
LIMIT CYCLES
HOPF BIFURCATION
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.2
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv This paper reports some computation of periodic solutions arising from Hopf bifurcations in order to build up a more accurate procedure for semi-analytical approximations to detect limit cycle bifurcations. The approximation formulas are derived using nonlinear feedback systems theory and the harmonic balance method. The monodromy matrix is computed for several simple nonlinear flows to detect the first bifurcation of the cycles in the neighborhood of the original Hopf bifurcation.
Fil: Robbio, Federico I.. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras; Argentina
Fil: Alonso, Diego. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras; Argentina
Fil: Moiola, Jorge Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras; Argentina
description This paper reports some computation of periodic solutions arising from Hopf bifurcations in order to build up a more accurate procedure for semi-analytical approximations to detect limit cycle bifurcations. The approximation formulas are derived using nonlinear feedback systems theory and the harmonic balance method. The monodromy matrix is computed for several simple nonlinear flows to detect the first bifurcation of the cycles in the neighborhood of the original Hopf bifurcation.
publishDate 2004
dc.date.none.fl_str_mv 2004-12
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/11336/104680
Robbio, Federico I.; Alonso, Diego; Moiola, Jorge Luis; On semi-analytical procedure for detecting limit cycle bifurcations; World Scientific; International Journal Of Bifurcation And Chaos; 14; 03; 12-2004; 951-970
0218-1274
CONICET Digital
CONICET
url http://hdl.handle.net/11336/104680
identifier_str_mv Robbio, Federico I.; Alonso, Diego; Moiola, Jorge Luis; On semi-analytical procedure for detecting limit cycle bifurcations; World Scientific; International Journal Of Bifurcation And Chaos; 14; 03; 12-2004; 951-970
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/url/https://www.worldscientific.com/doi/10.1142/S0218127404009703
info:eu-repo/semantics/altIdentifier/doi/10.1142/S0218127404009703
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
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_ 1846782446223228928
score 12.928904

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