When parallels and meridians are limit cycles for polynomial vector fields on quadrics of revolution in the euclidean 3-space

We study polynomial vector fields of arbitrary degree in R^3 with an invariant quadric of revolution. We characterize all the possible configurations of invariant meridians and parallels that these vector fields can exhibit. Furthermore we analyze when these invariant meridians and parallels can be...

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Detalles Bibliográficos
Autores: Dias, Fabio Scalco|||0000-0003-0635-4056, Llibre, Jaume|||0000-0002-9511-5999, Mello, Luis Fernando|||0000-0002-4989-3052
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:169483
Acceso en línea:https://ddd.uab.cat/record/169483
https://dx.doi.org/urn:doi:10.1142/S0218127416501601
Access Level:acceso abierto
Palabra clave:Invariant meridian
Invariant parallel
Limit cycle
Periodic orbit
Polynomial vector field
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spelling When parallels and meridians are limit cycles for polynomial vector fields on quadrics of revolution in the euclidean 3-spaceDias, Fabio Scalco|||0000-0003-0635-4056Llibre, Jaume|||0000-0002-9511-5999Mello, Luis Fernando|||0000-0002-4989-3052Invariant meridianInvariant parallelLimit cyclePeriodic orbitPolynomial vector fieldWe study polynomial vector fields of arbitrary degree in R^3 with an invariant quadric of revolution. We characterize all the possible configurations of invariant meridians and parallels that these vector fields can exhibit. Furthermore we analyze when these invariant meridians and parallels can be limit cycles. 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/169483https://dx.doi.org/urn:doi:10.1142/S0218127416501601reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio 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 316338European Commission https://doi.org/10.13039/501100000780 316339open 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:1694832026-06-06T12:50:31Z
dc.title.none.fl_str_mv When parallels and meridians are limit cycles for polynomial vector fields on quadrics of revolution in the euclidean 3-space
title When parallels and meridians are limit cycles for polynomial vector fields on quadrics of revolution in the euclidean 3-space
spellingShingle When parallels and meridians are limit cycles for polynomial vector fields on quadrics of revolution in the euclidean 3-space
Dias, Fabio Scalco|||0000-0003-0635-4056
Invariant meridian
Invariant parallel
Limit cycle
Periodic orbit
Polynomial vector field
title_short When parallels and meridians are limit cycles for polynomial vector fields on quadrics of revolution in the euclidean 3-space
title_full When parallels and meridians are limit cycles for polynomial vector fields on quadrics of revolution in the euclidean 3-space
title_fullStr When parallels and meridians are limit cycles for polynomial vector fields on quadrics of revolution in the euclidean 3-space
title_full_unstemmed When parallels and meridians are limit cycles for polynomial vector fields on quadrics of revolution in the euclidean 3-space
title_sort When parallels and meridians are limit cycles for polynomial vector fields on quadrics of revolution in the euclidean 3-space
dc.creator.none.fl_str_mv Dias, Fabio Scalco|||0000-0003-0635-4056
Llibre, Jaume|||0000-0002-9511-5999
Mello, Luis Fernando|||0000-0002-4989-3052
author Dias, Fabio Scalco|||0000-0003-0635-4056
author_facet Dias, Fabio Scalco|||0000-0003-0635-4056
Llibre, Jaume|||0000-0002-9511-5999
Mello, Luis Fernando|||0000-0002-4989-3052
author_role author
author2 Llibre, Jaume|||0000-0002-9511-5999
Mello, Luis Fernando|||0000-0002-4989-3052
author2_role author
author
dc.subject.none.fl_str_mv Invariant meridian
Invariant parallel
Limit cycle
Periodic orbit
Polynomial vector field
topic Invariant meridian
Invariant parallel
Limit cycle
Periodic orbit
Polynomial vector field
description We study polynomial vector fields of arbitrary degree in R^3 with an invariant quadric of revolution. We characterize all the possible configurations of invariant meridians and parallels that these vector fields can exhibit. Furthermore we analyze when these invariant meridians and parallels can be limit cycles.
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/169483
https://dx.doi.org/urn:doi:10.1142/S0218127416501601
url https://ddd.uab.cat/record/169483
https://dx.doi.org/urn:doi:10.1142/S0218127416501601
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv 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 316338
European Commission https://doi.org/10.13039/501100000780 316339
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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