Phase portraits of (2;0) reversible vector fields with symmetrical singularities

Detalhes bibliográficos
Autor(a) principal: Buzzi, Claudio [UNESP]
Data de Publicação: 2021
Outros Autores: Llibre, Jaume, Santana, Paulo [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.jmaa.2021.125324
http://hdl.handle.net/11449/206376
Resumo: In this paper we study the phase portraits in the Poincaré disk of the reversible vector fields of type (2;0) having generic bifurcations around a symmetric singular point p. We also prove the nonexistence of any periodic orbit surrounding p. We point out that some numerical computations were necessary in order to control the number of limit cycles.
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spelling Phase portraits of (2;0) reversible vector fields with symmetrical singularitiesClassification of vector fieldsPhase portraitPoincaré diskReversibilityReversible vector fieldsIn this paper we study the phase portraits in the Poincaré disk of the reversible vector fields of type (2;0) having generic bifurcations around a symmetric singular point p. We also prove the nonexistence of any periodic orbit surrounding p. We point out that some numerical computations were necessary in order to control the number of limit cycles.Agència de Gestió d'Ajuts Universitaris i de RecercaFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)H2020 European Research CouncilMinisterio de Economía, Industria y Competitividad, Gobierno de EspañaAgencia Estatal de InvestigaciónIBILCE–UNESPUniversitat Autònoma de Barcelona, BellaterraIBILCE–UNESPAgència de Gestió d'Ajuts Universitaris i de Recerca: 2017SGR1617FAPESP: 2018/23194-9FAPESP: 2019/10269-3FAPESP: 2019/21446-3CNPq: 304798/2019-3CAPES: 88881.068462/2014-01H2020 European Research Council: MSCA-RISE-2017-777911Ministerio de Economía, Industria y Competitividad, Gobierno de España: MTM2016-77278-PAgencia Estatal de Investigación: PID2019-104658GB-I00Universidade Estadual Paulista (Unesp)Universitat Autònoma de BarcelonaBuzzi, Claudio [UNESP]Llibre, JaumeSantana, Paulo [UNESP]2021-06-25T10:31:04Z2021-06-25T10:31:04Z2021-11-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1016/j.jmaa.2021.125324Journal of Mathematical Analysis and Applications, v. 503, n. 2, 2021.1096-08130022-247Xhttp://hdl.handle.net/11449/20637610.1016/j.jmaa.2021.1253242-s2.0-8510632928266828677607174450000-0003-2037-8417Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Mathematical Analysis and Applicationsinfo:eu-repo/semantics/openAccess2024-01-13T06:07:44Zoai:repositorio.unesp.br:11449/206376Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-13T06:07:44Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Phase portraits of (2;0) reversible vector fields with symmetrical singularities
title Phase portraits of (2;0) reversible vector fields with symmetrical singularities
spellingShingle Phase portraits of (2;0) reversible vector fields with symmetrical singularities
Buzzi, Claudio [UNESP]
Classification of vector fields
Phase portrait
Poincaré disk
Reversibility
Reversible vector fields
title_short Phase portraits of (2;0) reversible vector fields with symmetrical singularities
title_full Phase portraits of (2;0) reversible vector fields with symmetrical singularities
title_fullStr Phase portraits of (2;0) reversible vector fields with symmetrical singularities
title_full_unstemmed Phase portraits of (2;0) reversible vector fields with symmetrical singularities
title_sort Phase portraits of (2;0) reversible vector fields with symmetrical singularities
author Buzzi, Claudio [UNESP]
author_facet Buzzi, Claudio [UNESP]
Llibre, Jaume
Santana, Paulo [UNESP]
author_role author
author2 Llibre, Jaume
Santana, Paulo [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universitat Autònoma de Barcelona
dc.contributor.author.fl_str_mv Buzzi, Claudio [UNESP]
Llibre, Jaume
Santana, Paulo [UNESP]
dc.subject.por.fl_str_mv Classification of vector fields
Phase portrait
Poincaré disk
Reversibility
Reversible vector fields
topic Classification of vector fields
Phase portrait
Poincaré disk
Reversibility
Reversible vector fields
description In this paper we study the phase portraits in the Poincaré disk of the reversible vector fields of type (2;0) having generic bifurcations around a symmetric singular point p. We also prove the nonexistence of any periodic orbit surrounding p. We point out that some numerical computations were necessary in order to control the number of limit cycles.
publishDate 2021
dc.date.none.fl_str_mv 2021-06-25T10:31:04Z
2021-06-25T10:31:04Z
2021-11-15
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/10.1016/j.jmaa.2021.125324
Journal of Mathematical Analysis and Applications, v. 503, n. 2, 2021.
1096-0813
0022-247X
http://hdl.handle.net/11449/206376
10.1016/j.jmaa.2021.125324
2-s2.0-85106329282
6682867760717445
0000-0003-2037-8417
url http://dx.doi.org/10.1016/j.jmaa.2021.125324
http://hdl.handle.net/11449/206376
identifier_str_mv Journal of Mathematical Analysis and Applications, v. 503, n. 2, 2021.
1096-0813
0022-247X
10.1016/j.jmaa.2021.125324
2-s2.0-85106329282
6682867760717445
0000-0003-2037-8417
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Mathematical Analysis and Applications
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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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