Periodic solutions of Lienard differential equations via averaging theory of order two

For ε = 0 sufficiently small we provide sufficient conditions for the existence of periodic solutions for the Lienard differential equations of the form x + f(x)x + n2x + g(x) = ε2p1(t) + ε3p2(t), where n is a positive integer, f : R → R is a C3 function, g : R → R is a C4 function, and pi : R → R f...

Descripción completa

Detalles Bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, Novaes, Douglas D.|||0000-0002-9147-8442, Teixeira, Marco Antonio|||0000-0002-5386-9282
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:169442
Acceso en línea:https://ddd.uab.cat/record/169442
https://dx.doi.org/urn:doi:10.1590/0001-3765201520140129
Access Level:acceso abierto
Palabra clave:Averaging theory
Bifurcation theory
Lienard differential equation
Periodic solution
id ES_f563ed552e4f494a13bee5d00713df80
oai_identifier_str oai:ddd.uab.cat:169442
network_acronym_str ES
network_name_str España
repository_id_str
spelling Periodic solutions of Lienard differential equations via averaging theory of order twoLlibre, Jaume|||0000-0002-9511-5999Novaes, Douglas D.|||0000-0002-9147-8442Teixeira, Marco Antonio|||0000-0002-5386-9282Averaging theoryBifurcation theoryLienard differential equationPeriodic solutionFor ε = 0 sufficiently small we provide sufficient conditions for the existence of periodic solutions for the Lienard differential equations of the form x + f(x)x + n2x + g(x) = ε2p1(t) + ε3p2(t), where n is a positive integer, f : R → R is a C3 function, g : R → R is a C4 function, and pi : R → R for i = 1, 2 are continuous 2π-periodic function. The main tool used in this paper is the averaging theory of second order. We also provide one application of the main result obtained. 22015-01-0120152015-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/169442https://dx.doi.org/urn:doi:10.1590/0001-3765201520140129reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2008-03437Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-410European Commission https://doi.org/10.13039/501100000780 318999European Commission https://doi.org/10.13039/501100000780 316338open accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1694422026-06-06T12:50:31Z
dc.title.none.fl_str_mv Periodic solutions of Lienard differential equations via averaging theory of order two
title Periodic solutions of Lienard differential equations via averaging theory of order two
spellingShingle Periodic solutions of Lienard differential equations via averaging theory of order two
Llibre, Jaume|||0000-0002-9511-5999
Averaging theory
Bifurcation theory
Lienard differential equation
Periodic solution
title_short Periodic solutions of Lienard differential equations via averaging theory of order two
title_full Periodic solutions of Lienard differential equations via averaging theory of order two
title_fullStr Periodic solutions of Lienard differential equations via averaging theory of order two
title_full_unstemmed Periodic solutions of Lienard differential equations via averaging theory of order two
title_sort Periodic solutions of Lienard differential equations via averaging theory of order two
dc.creator.none.fl_str_mv Llibre, Jaume|||0000-0002-9511-5999
Novaes, Douglas D.|||0000-0002-9147-8442
Teixeira, Marco Antonio|||0000-0002-5386-9282
author Llibre, Jaume|||0000-0002-9511-5999
author_facet Llibre, Jaume|||0000-0002-9511-5999
Novaes, Douglas D.|||0000-0002-9147-8442
Teixeira, Marco Antonio|||0000-0002-5386-9282
author_role author
author2 Novaes, Douglas D.|||0000-0002-9147-8442
Teixeira, Marco Antonio|||0000-0002-5386-9282
author2_role author
author
dc.subject.none.fl_str_mv Averaging theory
Bifurcation theory
Lienard differential equation
Periodic solution
topic Averaging theory
Bifurcation theory
Lienard differential equation
Periodic solution
description For ε = 0 sufficiently small we provide sufficient conditions for the existence of periodic solutions for the Lienard differential equations of the form x + f(x)x + n2x + g(x) = ε2p1(t) + ε3p2(t), where n is a positive integer, f : R → R is a C3 function, g : R → R is a C4 function, and pi : R → R for i = 1, 2 are continuous 2π-periodic function. The main tool used in this paper is the averaging theory of second order. We also provide one application of the main result obtained.
publishDate 2015
dc.date.none.fl_str_mv 2
2015-01-01
2015
2015-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/169442
https://dx.doi.org/urn:doi:10.1590/0001-3765201520140129
url https://ddd.uab.cat/record/169442
https://dx.doi.org/urn:doi:10.1590/0001-3765201520140129
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2008-03437
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-410
European Commission https://doi.org/10.13039/501100000780 318999
European Commission https://doi.org/10.13039/501100000780 316338
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869424585703686144
score 15,301603

Similares en LA Referencia