Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2

We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of a family of cubic polynomial differential centers when it is perturbed inside the class of all cubic polynomial differential systems. The family considered is the un...

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Autores: Llibre, Jaume|||0000-0002-9511-5999, Lopes, Bruno D., De Moraes, Jaime Rezende|||0000-0002-7722-6644
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:169452
Acceso en línea:https://ddd.uab.cat/record/169452
https://dx.doi.org/urn:doi:10.1016/j.amc.2015.10.079
Access Level:acceso abierto
Palabra clave:Averaging theory
Limit cycle
Polinomial vector field
Weight-homogeneous differential system
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spelling Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2Llibre, Jaume|||0000-0002-9511-5999Lopes, Bruno D.De Moraes, Jaime Rezende|||0000-0002-7722-6644Averaging theoryLimit cyclePolinomial vector fieldWeight-homogeneous differential systemWe obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of a family of cubic polynomial differential centers when it is perturbed inside the class of all cubic polynomial differential systems. The family considered is the unique family of weight-homogeneous polynomial differential systems of weight-degree 2 with a center. The computations has been done with the help of the algebraic manipulator Mathematica. 22016-01-0120162016-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/169452https://dx.doi.org/urn:doi:10.1016/j.amc.2015.10.079reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2008-03437Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2013-40998-PAgència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/SGR-568European Commission https://doi.org/10.13039/501100000780 318999European Commission https://doi.org/10.13039/501100000780 316338open 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:1694522026-06-06T12:50:31Z
dc.title.none.fl_str_mv Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2
title Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2
spellingShingle Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2
Llibre, Jaume|||0000-0002-9511-5999
Averaging theory
Limit cycle
Polinomial vector field
Weight-homogeneous differential system
title_short Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2
title_full Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2
title_fullStr Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2
title_full_unstemmed Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2
title_sort Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2
dc.creator.none.fl_str_mv Llibre, Jaume|||0000-0002-9511-5999
Lopes, Bruno D.
De Moraes, Jaime Rezende|||0000-0002-7722-6644
author Llibre, Jaume|||0000-0002-9511-5999
author_facet Llibre, Jaume|||0000-0002-9511-5999
Lopes, Bruno D.
De Moraes, Jaime Rezende|||0000-0002-7722-6644
author_role author
author2 Lopes, Bruno D.
De Moraes, Jaime Rezende|||0000-0002-7722-6644
author2_role author
author
dc.subject.none.fl_str_mv Averaging theory
Limit cycle
Polinomial vector field
Weight-homogeneous differential system
topic Averaging theory
Limit cycle
Polinomial vector field
Weight-homogeneous differential system
description We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of a family of cubic polynomial differential centers when it is perturbed inside the class of all cubic polynomial differential systems. The family considered is the unique family of weight-homogeneous polynomial differential systems of weight-degree 2 with a center. The computations has been done with the help of the algebraic manipulator Mathematica.
publishDate 2016
dc.date.none.fl_str_mv 2
2016-01-01
2016
2016-01-01
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/169452
https://dx.doi.org/urn:doi:10.1016/j.amc.2015.10.079
url https://ddd.uab.cat/record/169452
https://dx.doi.org/urn:doi:10.1016/j.amc.2015.10.079
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2008-03437
Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2013-40998-P
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/SGR-568
European Commission https://doi.org/10.13039/501100000780 318999
European Commission https://doi.org/10.13039/501100000780 316338
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
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