Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles

Detalhes bibliográficos
Autor(a) principal: Novaes, Douglas D
Data de Publicação: 2021
Outros Autores: Rondón, Gabriel [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1088/1361-6544/ac04be
http://hdl.handle.net/11449/221985
Resumo: Understanding how tangential singularities evolve under smoothing processes was one of the first problem concerning regularization of Filippov systems. In this paper, we are interested in C n -regularizations of Filippov systems around visible regular-tangential singularities of even multiplicity. More specifically, using Fenichel theory and blow-up methods, we aim to understand how the trajectories of the regularized system transits through the region of regularization. We apply our results to investigate C n -regularizations of boundary limit cycles with even multiplicity contact with the switching manifold.
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spelling Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cyclesblow-up methodboundary limit cyclesFenichel theorynonsmooth differential systemsregularizationtangential singularitiesUnderstanding how tangential singularities evolve under smoothing processes was one of the first problem concerning regularization of Filippov systems. In this paper, we are interested in C n -regularizations of Filippov systems around visible regular-tangential singularities of even multiplicity. More specifically, using Fenichel theory and blow-up methods, we aim to understand how the trajectories of the regularized system transits through the region of regularization. We apply our results to investigate C n -regularizations of boundary limit cycles with even multiplicity contact with the switching manifold.Departamento de Matemática Instituto de Matemática Estatística e Computa ao Científica (IMECC) Universidade Estadual de Campinas (UNICAMP) Cidade Universitária Zeferino Vaz, Rua Sérgio Buarque de HolandaUNESP Universidade Estadual Paulista Sao José Do Rio PretoUNESP Universidade Estadual Paulista Sao José Do Rio PretoUniversidade Estadual de Campinas (UNICAMP)Universidade Estadual Paulista (UNESP)Novaes, Douglas DRondón, Gabriel [UNESP]2022-04-28T19:41:39Z2022-04-28T19:41:39Z2021-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article4202-4263http://dx.doi.org/10.1088/1361-6544/ac04beNonlinearity, v. 34, n. 6, p. 4202-4263, 2021.1361-65440951-7715http://hdl.handle.net/11449/22198510.1088/1361-6544/ac04be2-s2.0-85110536967Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNonlinearityinfo:eu-repo/semantics/openAccess2022-04-28T19:41:40Zoai:repositorio.unesp.br:11449/221985Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:14:04.072009Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles
title Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles
spellingShingle Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles
Novaes, Douglas D
blow-up method
boundary limit cycles
Fenichel theory
nonsmooth differential systems
regularization
tangential singularities
title_short Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles
title_full Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles
title_fullStr Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles
title_full_unstemmed Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles
title_sort Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles
author Novaes, Douglas D
author_facet Novaes, Douglas D
Rondón, Gabriel [UNESP]
author_role author
author2 Rondón, Gabriel [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual de Campinas (UNICAMP)
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Novaes, Douglas D
Rondón, Gabriel [UNESP]
dc.subject.por.fl_str_mv blow-up method
boundary limit cycles
Fenichel theory
nonsmooth differential systems
regularization
tangential singularities
topic blow-up method
boundary limit cycles
Fenichel theory
nonsmooth differential systems
regularization
tangential singularities
description Understanding how tangential singularities evolve under smoothing processes was one of the first problem concerning regularization of Filippov systems. In this paper, we are interested in C n -regularizations of Filippov systems around visible regular-tangential singularities of even multiplicity. More specifically, using Fenichel theory and blow-up methods, we aim to understand how the trajectories of the regularized system transits through the region of regularization. We apply our results to investigate C n -regularizations of boundary limit cycles with even multiplicity contact with the switching manifold.
publishDate 2021
dc.date.none.fl_str_mv 2021-06-01
2022-04-28T19:41:39Z
2022-04-28T19:41:39Z
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/10.1088/1361-6544/ac04be
Nonlinearity, v. 34, n. 6, p. 4202-4263, 2021.
1361-6544
0951-7715
http://hdl.handle.net/11449/221985
10.1088/1361-6544/ac04be
2-s2.0-85110536967
url http://dx.doi.org/10.1088/1361-6544/ac04be
http://hdl.handle.net/11449/221985
identifier_str_mv Nonlinearity, v. 34, n. 6, p. 4202-4263, 2021.
1361-6544
0951-7715
10.1088/1361-6544/ac04be
2-s2.0-85110536967
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Nonlinearity
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 4202-4263
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_ 1808129176852496384

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