Creation of Limit Cycles in Piecewise Smooth Vector Fields Tangent to Nested Tori

Detalhes bibliográficos
Autor(a) principal: Carvalho, Tiago
Data de Publicação: 2021
Outros Autores: Gonçalves, Luiz Fernando [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s12346-021-00491-9
http://hdl.handle.net/11449/221762
Resumo: The main goal of this paper is to present the behavior generated by piecewise smooth vector fields tangent to foliations. We consider two smooth foliations F1 and F2 that are coupled to produce a foliation composed by nested topological tori. Moreover, a piecewise smooth vector field composed of periodic orbits and tangent to these tori is considered. We perturb this piecewise vector field (and, consequently, the foliations) and the birth of either finite or infinitely many limit cycles for the 3D piecewise smooth vector field is observed.
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spelling Creation of Limit Cycles in Piecewise Smooth Vector Fields Tangent to Nested ToriBifurcationLimit cyclesPiecewise smooth vector fieldThe main goal of this paper is to present the behavior generated by piecewise smooth vector fields tangent to foliations. We consider two smooth foliations F1 and F2 that are coupled to produce a foliation composed by nested topological tori. Moreover, a piecewise smooth vector field composed of periodic orbits and tangent to these tori is considered. We perturb this piecewise vector field (and, consequently, the foliations) and the birth of either finite or infinitely many limit cycles for the 3D piecewise smooth vector field is observed.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Departamento de Computação e Matemática; Faculdade de Filosofia Ciências e Letras de Ribeirão Preto, Universidade de São Paulo, Avenida Bandeirantes 3900Instituto de Biociências Letras e Ciências Exatas Universidade Estadual Paulista, Rua Cristóvão Colombo 2265Instituto de Biociências Letras e Ciências Exatas Universidade Estadual Paulista, Rua Cristóvão Colombo 2265FAPESP: 2019/10269-3FAPESP: 2019/10450-0CNPq: 304809/2017-9Universidade de São Paulo (USP)Universidade Estadual Paulista (UNESP)Carvalho, TiagoGonçalves, Luiz Fernando [UNESP]2022-04-28T19:40:18Z2022-04-28T19:40:18Z2021-07-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/s12346-021-00491-9Qualitative Theory of Dynamical Systems, v. 20, n. 2, 2021.1662-35921575-5460http://hdl.handle.net/11449/22176210.1007/s12346-021-00491-92-s2.0-85107135960Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengQualitative Theory of Dynamical Systemsinfo:eu-repo/semantics/openAccess2022-04-28T19:40:18Zoai:repositorio.unesp.br:11449/221762Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-28T19:40:18Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Creation of Limit Cycles in Piecewise Smooth Vector Fields Tangent to Nested Tori
title Creation of Limit Cycles in Piecewise Smooth Vector Fields Tangent to Nested Tori
spellingShingle Creation of Limit Cycles in Piecewise Smooth Vector Fields Tangent to Nested Tori
Carvalho, Tiago
Bifurcation
Limit cycles
Piecewise smooth vector field
title_short Creation of Limit Cycles in Piecewise Smooth Vector Fields Tangent to Nested Tori
title_full Creation of Limit Cycles in Piecewise Smooth Vector Fields Tangent to Nested Tori
title_fullStr Creation of Limit Cycles in Piecewise Smooth Vector Fields Tangent to Nested Tori
title_full_unstemmed Creation of Limit Cycles in Piecewise Smooth Vector Fields Tangent to Nested Tori
title_sort Creation of Limit Cycles in Piecewise Smooth Vector Fields Tangent to Nested Tori
author Carvalho, Tiago
author_facet Carvalho, Tiago
Gonçalves, Luiz Fernando [UNESP]
author_role author
author2 Gonçalves, Luiz Fernando [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Carvalho, Tiago
Gonçalves, Luiz Fernando [UNESP]
dc.subject.por.fl_str_mv Bifurcation
Limit cycles
Piecewise smooth vector field
topic Bifurcation
Limit cycles
Piecewise smooth vector field
description The main goal of this paper is to present the behavior generated by piecewise smooth vector fields tangent to foliations. We consider two smooth foliations F1 and F2 that are coupled to produce a foliation composed by nested topological tori. Moreover, a piecewise smooth vector field composed of periodic orbits and tangent to these tori is considered. We perturb this piecewise vector field (and, consequently, the foliations) and the birth of either finite or infinitely many limit cycles for the 3D piecewise smooth vector field is observed.
publishDate 2021
dc.date.none.fl_str_mv 2021-07-01
2022-04-28T19:40:18Z
2022-04-28T19:40:18Z
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/s12346-021-00491-9
Qualitative Theory of Dynamical Systems, v. 20, n. 2, 2021.
1662-3592
1575-5460
http://hdl.handle.net/11449/221762
10.1007/s12346-021-00491-9
2-s2.0-85107135960
url http://dx.doi.org/10.1007/s12346-021-00491-9
http://hdl.handle.net/11449/221762
identifier_str_mv Qualitative Theory of Dynamical Systems, v. 20, n. 2, 2021.
1662-3592
1575-5460
10.1007/s12346-021-00491-9
2-s2.0-85107135960
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.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_ 1799964801679491072

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