Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the origin

Detalhes bibliográficos
Autor(a) principal: Buzzi, Claudio A. [UNESP]
Data de Publicação: 2009
Outros Autores: Llibre, Jaume, Medrado, João C. R.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s12346-008-0021-2
http://hdl.handle.net/11449/220102
Resumo: In this paper we classify the global phase portraits of all reversible linear differential systems with cubic homogeneous polynomial nonlinearities defined in the plane and having a non degenerate center at the origin. The reversibility is given by a linear involution having a fixed set of dimension 1. © 2008 Birkhäuser Verlag Basel/Switzerland.
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spelling Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the originCubic vector fieldsPhase portraitReversible vector fieldsIn this paper we classify the global phase portraits of all reversible linear differential systems with cubic homogeneous polynomial nonlinearities defined in the plane and having a non degenerate center at the origin. The reversibility is given by a linear involution having a fixed set of dimension 1. © 2008 Birkhäuser Verlag Basel/Switzerland.Mountain Equipment Co-opUNESP-IBILCE, Rua C. Colombo, 2265, 15054-000 S. J. Rio PretoDepartament de Matemátiques Universitat Autónoma de Barcelona, 08193 Bellaterra, BarcelonaIME-UFG, Campus Samambaia, CP 131, 74001-970, GoîaniaUNESP-IBILCE, Rua C. Colombo, 2265, 15054-000 S. J. Rio PretoMountain Equipment Co-op: 2005-06098-C02-01Universidade Estadual Paulista (UNESP)Universitat Autónoma de BarcelonaIME-UFGBuzzi, Claudio A. [UNESP]Llibre, JaumeMedrado, João C. R.2022-04-28T18:59:41Z2022-04-28T18:59:41Z2009-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article369-403http://dx.doi.org/10.1007/s12346-008-0021-2Qualitative Theory of Dynamical Systems, v. 7, n. 2, p. 369-403, 2009.1575-54601662-3592http://hdl.handle.net/11449/22010210.1007/s12346-008-0021-22-s2.0-84896693681Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengQualitative Theory of Dynamical Systemsinfo:eu-repo/semantics/openAccess2022-04-28T18:59:41Zoai:repositorio.unesp.br:11449/220102Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-28T18:59:41Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the origin
title Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the origin
spellingShingle Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the origin
Buzzi, Claudio A. [UNESP]
Cubic vector fields
Phase portrait
Reversible vector fields
title_short Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the origin
title_full Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the origin
title_fullStr Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the origin
title_full_unstemmed Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the origin
title_sort Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the origin
author Buzzi, Claudio A. [UNESP]
author_facet Buzzi, Claudio A. [UNESP]
Llibre, Jaume
Medrado, João C. R.
author_role author
author2 Llibre, Jaume
Medrado, João C. R.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Universitat Autónoma de Barcelona
IME-UFG
dc.contributor.author.fl_str_mv Buzzi, Claudio A. [UNESP]
Llibre, Jaume
Medrado, João C. R.
dc.subject.por.fl_str_mv Cubic vector fields
Phase portrait
Reversible vector fields
topic Cubic vector fields
Phase portrait
Reversible vector fields
description In this paper we classify the global phase portraits of all reversible linear differential systems with cubic homogeneous polynomial nonlinearities defined in the plane and having a non degenerate center at the origin. The reversibility is given by a linear involution having a fixed set of dimension 1. © 2008 Birkhäuser Verlag Basel/Switzerland.
publishDate 2009
dc.date.none.fl_str_mv 2009-12-01
2022-04-28T18:59:41Z
2022-04-28T18:59:41Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/s12346-008-0021-2
Qualitative Theory of Dynamical Systems, v. 7, n. 2, p. 369-403, 2009.
1575-5460
1662-3592
http://hdl.handle.net/11449/220102
10.1007/s12346-008-0021-2
2-s2.0-84896693681
url http://dx.doi.org/10.1007/s12346-008-0021-2
http://hdl.handle.net/11449/220102
identifier_str_mv Qualitative Theory of Dynamical Systems, v. 7, n. 2, p. 369-403, 2009.
1575-5460
1662-3592
10.1007/s12346-008-0021-2
2-s2.0-84896693681
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Qualitative Theory of Dynamical Systems
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 369-403
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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