Center Problem for trigonometric Liénard systems

We give a complete algebraic characterization of the non-degenerated centers for planar trigonometric Liénard systems. The main tools used in our proof are the classical results of Cherkas on planar analytic Liénard systems and the characterization of some subfields of the quotient field of the ring...

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Autores: Gasull, Armengol|||0000-0002-1719-8231, Giné, Jaume|||0000-0001-7109-2553, 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:182524
Acceso en línea:https://ddd.uab.cat/record/182524
https://dx.doi.org/urn:doi:10.1016/j.jde.2017.05.008
Access Level:acceso abierto
Palabra clave:Center problem
Trigonometric Liénard equation
Trigonometric polynomial
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spelling Center Problem for trigonometric Liénard systemsGasull, Armengol|||0000-0002-1719-8231Giné, Jaume|||0000-0001-7109-2553Valls, Clàudia|||0000-0001-8279-1229Center problemTrigonometric Liénard equationTrigonometric polynomialWe give a complete algebraic characterization of the non-degenerated centers for planar trigonometric Liénard systems. The main tools used in our proof are the classical results of Cherkas on planar analytic Liénard systems and the characterization of some subfields of the quotient field of the ring of trigonometric polynomials. Our results are also applied to some particular subfamilies of planar trigonometric Liénard systems. The results obtained are reminiscent of the ones for planar polynomial Liénard systems but the proofs are different. 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/182524https://dx.doi.org/urn:doi:10.1016/j.jde.2017.05.008reponame: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-568Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/SGR-1204Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2013-40998-PMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2014-53703-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:1825242026-06-06T12:50:31Z
dc.title.none.fl_str_mv Center Problem for trigonometric Liénard systems
title Center Problem for trigonometric Liénard systems
spellingShingle Center Problem for trigonometric Liénard systems
Gasull, Armengol|||0000-0002-1719-8231
Center problem
Trigonometric Liénard equation
Trigonometric polynomial
title_short Center Problem for trigonometric Liénard systems
title_full Center Problem for trigonometric Liénard systems
title_fullStr Center Problem for trigonometric Liénard systems
title_full_unstemmed Center Problem for trigonometric Liénard systems
title_sort Center Problem for trigonometric Liénard systems
dc.creator.none.fl_str_mv Gasull, Armengol|||0000-0002-1719-8231
Giné, Jaume|||0000-0001-7109-2553
Valls, Clàudia|||0000-0001-8279-1229
author Gasull, Armengol|||0000-0002-1719-8231
author_facet Gasull, Armengol|||0000-0002-1719-8231
Giné, Jaume|||0000-0001-7109-2553
Valls, Clàudia|||0000-0001-8279-1229
author_role author
author2 Giné, Jaume|||0000-0001-7109-2553
Valls, Clàudia|||0000-0001-8279-1229
author2_role author
author
dc.subject.none.fl_str_mv Center problem
Trigonometric Liénard equation
Trigonometric polynomial
topic Center problem
Trigonometric Liénard equation
Trigonometric polynomial
description We give a complete algebraic characterization of the non-degenerated centers for planar trigonometric Liénard systems. The main tools used in our proof are the classical results of Cherkas on planar analytic Liénard systems and the characterization of some subfields of the quotient field of the ring of trigonometric polynomials. Our results are also applied to some particular subfamilies of planar trigonometric Liénard systems. The results obtained are reminiscent of the ones for planar polynomial Liénard systems but the proofs are different.
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/182524
https://dx.doi.org/urn:doi:10.1016/j.jde.2017.05.008
url https://ddd.uab.cat/record/182524
https://dx.doi.org/urn:doi:10.1016/j.jde.2017.05.008
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
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/SGR-1204
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 MTM2014-53703-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
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