Oscillations with one degree of freedom and discontinuous energy

Detalhes bibliográficos
Autor(a) principal: Frasson, Miguel V. S.
Data de Publicação: 2015
Outros Autores: Gadotti, Marta C. [UNESP], Nicola, Selma H. J., Táboas, Plácido Z.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/228057
Resumo: In 1995 for a linear oscillator, Myshkis imposed a constant impulse to the velocity, each moment the energy reaches a certain level. The main feature of the resulting system is that it defines a nonlinear discontinuous semigroup. In this note we study the orbital stability of a one-parameter family of periodic solutions and state the existence of a period-doubling bifurcation of such solutions.
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spelling Oscillations with one degree of freedom and discontinuous energyBifurcationDiscontinuous energyOrbital stabilityPeriodic solutionsIn 1995 for a linear oscillator, Myshkis imposed a constant impulse to the velocity, each moment the energy reaches a certain level. The main feature of the resulting system is that it defines a nonlinear discontinuous semigroup. In this note we study the orbital stability of a one-parameter family of periodic solutions and state the existence of a period-doubling bifurcation of such solutions.Departamento de Matemática Aplicada e Estatística, ICMC-Universidade de São Paulo, Avenida Trabalhador São-carlense 400Departamento de Matemática, IGCE - Universidade Estadual Paulista, Avenida 24A 1515Departamento de Matemática, Universidade Federal de São Carlos, Rodovia Washington Luis, km 235 NorteDepartamento de Matemática, IGCE - Universidade Estadual Paulista, Avenida 24A 1515Universidade de São Paulo (USP)Universidade Estadual Paulista (UNESP)Universidade Federal de São Carlos (UFSCar)Frasson, Miguel V. S.Gadotti, Marta C. [UNESP]Nicola, Selma H. J.Táboas, Plácido Z.2022-04-29T07:26:30Z2022-04-29T07:26:30Z2015-10-23info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleElectronic Journal of Differential Equations, v. 2015.1072-6691http://hdl.handle.net/11449/2280572-s2.0-84945162152Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengElectronic Journal of Differential Equationsinfo:eu-repo/semantics/openAccess2022-04-29T07:26:30Zoai:repositorio.unesp.br:11449/228057Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:28:44.812010Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Oscillations with one degree of freedom and discontinuous energy
title Oscillations with one degree of freedom and discontinuous energy
spellingShingle Oscillations with one degree of freedom and discontinuous energy
Frasson, Miguel V. S.
Bifurcation
Discontinuous energy
Orbital stability
Periodic solutions
title_short Oscillations with one degree of freedom and discontinuous energy
title_full Oscillations with one degree of freedom and discontinuous energy
title_fullStr Oscillations with one degree of freedom and discontinuous energy
title_full_unstemmed Oscillations with one degree of freedom and discontinuous energy
title_sort Oscillations with one degree of freedom and discontinuous energy
author Frasson, Miguel V. S.
author_facet Frasson, Miguel V. S.
Gadotti, Marta C. [UNESP]
Nicola, Selma H. J.
Táboas, Plácido Z.
author_role author
author2 Gadotti, Marta C. [UNESP]
Nicola, Selma H. J.
Táboas, Plácido Z.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
Universidade Estadual Paulista (UNESP)
Universidade Federal de São Carlos (UFSCar)
dc.contributor.author.fl_str_mv Frasson, Miguel V. S.
Gadotti, Marta C. [UNESP]
Nicola, Selma H. J.
Táboas, Plácido Z.
dc.subject.por.fl_str_mv Bifurcation
Discontinuous energy
Orbital stability
Periodic solutions
topic Bifurcation
Discontinuous energy
Orbital stability
Periodic solutions
description In 1995 for a linear oscillator, Myshkis imposed a constant impulse to the velocity, each moment the energy reaches a certain level. The main feature of the resulting system is that it defines a nonlinear discontinuous semigroup. In this note we study the orbital stability of a one-parameter family of periodic solutions and state the existence of a period-doubling bifurcation of such solutions.
publishDate 2015
dc.date.none.fl_str_mv 2015-10-23
2022-04-29T07:26:30Z
2022-04-29T07:26:30Z
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 Electronic Journal of Differential Equations, v. 2015.
1072-6691
http://hdl.handle.net/11449/228057
2-s2.0-84945162152
identifier_str_mv Electronic Journal of Differential Equations, v. 2015.
1072-6691
2-s2.0-84945162152
url http://hdl.handle.net/11449/228057
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Electronic Journal of Differential Equations
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_ 1808129074567053312

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