On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems

Detalhes bibliográficos
Autor(a) principal: Gouveia, Márcio R.A. [UNESP]
Data de Publicação: 2015
Outros Autores: Llibre, Jaume, Novaes, Douglas D.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.amc.2015.09.022
http://hdl.handle.net/11449/172107
Resumo: In this paper we consider the linear differential center (x,y)=(-y,x) perturbed inside the class of all discontinuous piecewise linear differential systems with two zones separated by the straight line y=0. Using the Bendixson transformation we provide sufficient conditions to ensure the existence of a crossing limit cycle coming purely from the infinity. We also study the displacement function for a class of discontinuous piecewise smooth differential system.
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spelling On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systemsDiscontinuous differential systemDisplacement functionInfinite periodic orbitLimit cyclePiecewise linear differential systemIn this paper we consider the linear differential center (x,y)=(-y,x) perturbed inside the class of all discontinuous piecewise linear differential systems with two zones separated by the straight line y=0. Using the Bendixson transformation we provide sufficient conditions to ensure the existence of a crossing limit cycle coming purely from the infinity. We also study the displacement function for a class of discontinuous piecewise smooth differential system.Departamento de Matemática, IBILCE-UNESP, Rua C. Colombo, 2265Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 BellaterraDepartamento de Matemática, Universidade Estadual de Campinas, Cidade Universitária Zeferino Vaz, Rua Sérgio Baruque de Holanda, 651Departamento de Matemática, IBILCE-UNESP, Rua C. Colombo, 2265Universidade Estadual Paulista (Unesp)Universidade Estadual de Campinas (UNICAMP)Gouveia, Márcio R.A. [UNESP]Llibre, JaumeNovaes, Douglas D.2018-12-11T16:58:42Z2018-12-11T16:58:42Z2015-11-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article365-374application/pdfhttp://dx.doi.org/10.1016/j.amc.2015.09.022Applied Mathematics and Computation, v. 271, p. 365-374.0096-3003http://hdl.handle.net/11449/17210710.1016/j.amc.2015.09.0222-s2.0-849428564022-s2.0-84942856402.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengApplied Mathematics and Computation1,065info:eu-repo/semantics/openAccess2023-12-31T06:22:16Zoai:repositorio.unesp.br:11449/172107Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-05-23T19:30:34.788598Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems
title On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems
spellingShingle On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems
Gouveia, Márcio R.A. [UNESP]
Discontinuous differential system
Displacement function
Infinite periodic orbit
Limit cycle
Piecewise linear differential system
title_short On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems
title_full On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems
title_fullStr On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems
title_full_unstemmed On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems
title_sort On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems
author Gouveia, Márcio R.A. [UNESP]
author_facet Gouveia, Márcio R.A. [UNESP]
Llibre, Jaume
Novaes, Douglas D.
author_role author
author2 Llibre, Jaume
Novaes, Douglas D.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade Estadual de Campinas (UNICAMP)
dc.contributor.author.fl_str_mv Gouveia, Márcio R.A. [UNESP]
Llibre, Jaume
Novaes, Douglas D.
dc.subject.por.fl_str_mv Discontinuous differential system
Displacement function
Infinite periodic orbit
Limit cycle
Piecewise linear differential system
topic Discontinuous differential system
Displacement function
Infinite periodic orbit
Limit cycle
Piecewise linear differential system
description In this paper we consider the linear differential center (x,y)=(-y,x) perturbed inside the class of all discontinuous piecewise linear differential systems with two zones separated by the straight line y=0. Using the Bendixson transformation we provide sufficient conditions to ensure the existence of a crossing limit cycle coming purely from the infinity. We also study the displacement function for a class of discontinuous piecewise smooth differential system.
publishDate 2015
dc.date.none.fl_str_mv 2015-11-15
2018-12-11T16:58:42Z
2018-12-11T16:58:42Z
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.amc.2015.09.022
Applied Mathematics and Computation, v. 271, p. 365-374.
0096-3003
http://hdl.handle.net/11449/172107
10.1016/j.amc.2015.09.022
2-s2.0-84942856402
2-s2.0-84942856402.pdf
url http://dx.doi.org/10.1016/j.amc.2015.09.022
http://hdl.handle.net/11449/172107
identifier_str_mv Applied Mathematics and Computation, v. 271, p. 365-374.
0096-3003
10.1016/j.amc.2015.09.022
2-s2.0-84942856402
2-s2.0-84942856402.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Applied Mathematics and Computation
1,065
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 365-374
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
_version_ 1803045618447286272

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