About the generalized hopf bifurcations at infinity for planar cubic systems

In this paper we prove the existence of four infinitesimal limit cycles bifurcating at infinity for a class of planar cubic systems. Necessary and sufficient conditions to obtain a center for that class are established.

Autores:
Sáez, Eduardo
Vásquez, Renata
Billeke, Jorge
Tipo de recurso:
Article of journal
Fecha de publicación:
1995
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43515
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43515
http://bdigital.unal.edu.co/33613/
Palabra clave:
Limit cycles
cubic systems
center conditions
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/43515
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repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Sáez, Eduardoe7231205-80e3-48a1-ac59-462b2cca4234300Vásquez, Renataa4be946d-c0da-4580-9707-0dc394dceb10300Billeke, Jorgeb594583e-ba28-46e0-be07-54eb25f528c03002019-06-28T12:04:41Z2019-06-28T12:04:41Z1995https://repositorio.unal.edu.co/handle/unal/43515http://bdigital.unal.edu.co/33613/In this paper we prove the existence of four infinitesimal limit cycles bifurcating at infinity for a class of planar cubic systems. Necessary and sufficient conditions to obtain a center for that class are established.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33490Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 29, núm. 2 (1995); 89-93 0034-7426Sáez, Eduardo and Vásquez, Renata and Billeke, Jorge (1995) About the generalized hopf bifurcations at infinity for planar cubic systems. Revista Colombiana de Matemáticas; Vol. 29, núm. 2 (1995); 89-93 0034-7426 .About the generalized hopf bifurcations at infinity for planar cubic systemsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTLimit cyclescubic systemscenter conditionsORIGINAL33490-124235-1-PB.pdfapplication/pdf1696676https://repositorio.unal.edu.co/bitstream/unal/43515/1/33490-124235-1-PB.pdfaed80d13c958052914d6f9ff5b694ed6MD51THUMBNAIL33490-124235-1-PB.pdf.jpg33490-124235-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg7004https://repositorio.unal.edu.co/bitstream/unal/43515/2/33490-124235-1-PB.pdf.jpg9d96cee25ee939bfa60e595294e09ff1MD52unal/43515oai:repositorio.unal.edu.co:unal/435152024-02-10 23:06:30.102Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv About the generalized hopf bifurcations at infinity for planar cubic systems
title About the generalized hopf bifurcations at infinity for planar cubic systems
spellingShingle About the generalized hopf bifurcations at infinity for planar cubic systems
Limit cycles
cubic systems
center conditions
title_short About the generalized hopf bifurcations at infinity for planar cubic systems
title_full About the generalized hopf bifurcations at infinity for planar cubic systems
title_fullStr About the generalized hopf bifurcations at infinity for planar cubic systems
title_full_unstemmed About the generalized hopf bifurcations at infinity for planar cubic systems
title_sort About the generalized hopf bifurcations at infinity for planar cubic systems
dc.creator.fl_str_mv Sáez, Eduardo
Vásquez, Renata
Billeke, Jorge
dc.contributor.author.spa.fl_str_mv Sáez, Eduardo
Vásquez, Renata
Billeke, Jorge
dc.subject.proposal.spa.fl_str_mv Limit cycles
cubic systems
center conditions
topic Limit cycles
cubic systems
center conditions
description In this paper we prove the existence of four infinitesimal limit cycles bifurcating at infinity for a class of planar cubic systems. Necessary and sufficient conditions to obtain a center for that class are established.
publishDate 1995
dc.date.issued.spa.fl_str_mv 1995
dc.date.accessioned.spa.fl_str_mv 2019-06-28T12:04:41Z
dc.date.available.spa.fl_str_mv 2019-06-28T12:04:41Z
dc.type.spa.fl_str_mv Artículo de revista
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/43515
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/33613/
url https://repositorio.unal.edu.co/handle/unal/43515
http://bdigital.unal.edu.co/33613/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33490
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 29, núm. 2 (1995); 89-93 0034-7426
dc.relation.references.spa.fl_str_mv Sáez, Eduardo and Vásquez, Renata and Billeke, Jorge (1995) About the generalized hopf bifurcations at infinity for planar cubic systems. Revista Colombiana de Matemáticas; Vol. 29, núm. 2 (1995); 89-93 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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