On the Bifurcation of Limit Cycles Due to Polynomial Perturbations of Hamiltonian Centers

We study the number of limit cycles bifurcating from the peri- od annulus of a real planar polynomial Hamiltonian ordinary differential system with a center at the origin when it is perturbed in the class of polynomial vector fields of a given degree.

Detalles Bibliográficos
Autores: Colak, Ilker, Llibre, Jaume|||0000-0002-9511-5999, Valls, Clàudia|||0000-0001-8279-1229
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:182528
Acceso en línea:https://ddd.uab.cat/record/182528
https://dx.doi.org/urn:doi:10.1007/s00009-017-0857-2
Access Level:acceso abierto
Palabra clave:Center
Hamiltonian system
Limit cycle
Melnikov function
Ordinary differential system
Planar system
Polynomial system
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spelling On the Bifurcation of Limit Cycles Due to Polynomial Perturbations of Hamiltonian CentersColak, IlkerLlibre, Jaume|||0000-0002-9511-5999Valls, Clàudia|||0000-0001-8279-1229CenterHamiltonian systemLimit cycleMelnikov functionOrdinary differential systemPlanar systemPolynomial systemWe study the number of limit cycles bifurcating from the peri- od annulus of a real planar polynomial Hamiltonian ordinary differential system with a center at the origin when it is perturbed in the class of polynomial vector fields of a given degree. 22017-01-0120172017-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/182528https://dx.doi.org/urn:doi:10.1007/s00009-017-0857-2reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengAgència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/SGR-568Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2013-40998-PMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77278-Popen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1825282026-06-06T12:50:31Z
dc.title.none.fl_str_mv On the Bifurcation of Limit Cycles Due to Polynomial Perturbations of Hamiltonian Centers
title On the Bifurcation of Limit Cycles Due to Polynomial Perturbations of Hamiltonian Centers
spellingShingle On the Bifurcation of Limit Cycles Due to Polynomial Perturbations of Hamiltonian Centers
Colak, Ilker
Center
Hamiltonian system
Limit cycle
Melnikov function
Ordinary differential system
Planar system
Polynomial system
title_short On the Bifurcation of Limit Cycles Due to Polynomial Perturbations of Hamiltonian Centers
title_full On the Bifurcation of Limit Cycles Due to Polynomial Perturbations of Hamiltonian Centers
title_fullStr On the Bifurcation of Limit Cycles Due to Polynomial Perturbations of Hamiltonian Centers
title_full_unstemmed On the Bifurcation of Limit Cycles Due to Polynomial Perturbations of Hamiltonian Centers
title_sort On the Bifurcation of Limit Cycles Due to Polynomial Perturbations of Hamiltonian Centers
dc.creator.none.fl_str_mv Colak, Ilker
Llibre, Jaume|||0000-0002-9511-5999
Valls, Clàudia|||0000-0001-8279-1229
author Colak, Ilker
author_facet Colak, Ilker
Llibre, Jaume|||0000-0002-9511-5999
Valls, Clàudia|||0000-0001-8279-1229
author_role author
author2 Llibre, Jaume|||0000-0002-9511-5999
Valls, Clàudia|||0000-0001-8279-1229
author2_role author
author
dc.subject.none.fl_str_mv Center
Hamiltonian system
Limit cycle
Melnikov function
Ordinary differential system
Planar system
Polynomial system
topic Center
Hamiltonian system
Limit cycle
Melnikov function
Ordinary differential system
Planar system
Polynomial system
description We study the number of limit cycles bifurcating from the peri- od annulus of a real planar polynomial Hamiltonian ordinary differential system with a center at the origin when it is perturbed in the class of polynomial vector fields of a given degree.
publishDate 2017
dc.date.none.fl_str_mv 2
2017-01-01
2017
2017-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/182528
https://dx.doi.org/urn:doi:10.1007/s00009-017-0857-2
url https://ddd.uab.cat/record/182528
https://dx.doi.org/urn:doi:10.1007/s00009-017-0857-2
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/SGR-568
Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2013-40998-P
Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77278-P
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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