Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the origin
Autor(a) principal: | |
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Data de Publicação: | 2009 |
Outros Autores: | , |
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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Repositório Institucional da UNESP |
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2946 |
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 |
|
_version_ |
1803649603504963584 |