On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , |
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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Repositório Institucional da UNESP |
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2946 |
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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:29462024-08-05T21:49:05.744340Repositório 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_ |
1808129360863952896 |