Periodic solutions of a class of Duffing differential equations

In this work we study the existence of new periodic solutions for the well knwon class of Duffing differential equation of the form x" + cx' + a(t)x + b(t)x3 = h(t), where c is a real parameter, a(t), b(t) and h(t) are continuous T-periodic functions. Our results are proved using three dif...

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Detalles Bibliográficos
Autores: Benterki, Rebiha|||0000-0001-6745-2747, Llibre, Jaume|||0000-0002-9511-5999
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:222635
Acceso en línea:https://ddd.uab.cat/record/222635
https://dx.doi.org/urn:doi:10.12150/jnma.2019.167
Access Level:acceso abierto
Palabra clave:Averaging method
Bifurcation
Duffing differential equation
Periodic solution
Stability
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spelling Periodic solutions of a class of Duffing differential equationsBenterki, Rebiha|||0000-0001-6745-2747Llibre, Jaume|||0000-0002-9511-5999Averaging methodBifurcationDuffing differential equationPeriodic solutionStabilityIn this work we study the existence of new periodic solutions for the well knwon class of Duffing differential equation of the form x" + cx' + a(t)x + b(t)x3 = h(t), where c is a real parameter, a(t), b(t) and h(t) are continuous T-periodic functions. Our results are proved using three different results on the averaging theory of first order. 22019-01-0120192019-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/222635https://dx.doi.org/urn:doi:10.12150/jnma.2019.167reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77278-PMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MDM-2014-0445Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617European Commission https://doi.org/10.13039/501100000780 777911open 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:2226352026-06-06T12:50:31Z
dc.title.none.fl_str_mv Periodic solutions of a class of Duffing differential equations
title Periodic solutions of a class of Duffing differential equations
spellingShingle Periodic solutions of a class of Duffing differential equations
Benterki, Rebiha|||0000-0001-6745-2747
Averaging method
Bifurcation
Duffing differential equation
Periodic solution
Stability
title_short Periodic solutions of a class of Duffing differential equations
title_full Periodic solutions of a class of Duffing differential equations
title_fullStr Periodic solutions of a class of Duffing differential equations
title_full_unstemmed Periodic solutions of a class of Duffing differential equations
title_sort Periodic solutions of a class of Duffing differential equations
dc.creator.none.fl_str_mv Benterki, Rebiha|||0000-0001-6745-2747
Llibre, Jaume|||0000-0002-9511-5999
author Benterki, Rebiha|||0000-0001-6745-2747
author_facet Benterki, Rebiha|||0000-0001-6745-2747
Llibre, Jaume|||0000-0002-9511-5999
author_role author
author2 Llibre, Jaume|||0000-0002-9511-5999
author2_role author
dc.subject.none.fl_str_mv Averaging method
Bifurcation
Duffing differential equation
Periodic solution
Stability
topic Averaging method
Bifurcation
Duffing differential equation
Periodic solution
Stability
description In this work we study the existence of new periodic solutions for the well knwon class of Duffing differential equation of the form x" + cx' + a(t)x + b(t)x3 = h(t), where c is a real parameter, a(t), b(t) and h(t) are continuous T-periodic functions. Our results are proved using three different results on the averaging theory of first order.
publishDate 2019
dc.date.none.fl_str_mv 2
2019-01-01
2019
2019-01-01
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/222635
https://dx.doi.org/urn:doi:10.12150/jnma.2019.167
url https://ddd.uab.cat/record/222635
https://dx.doi.org/urn:doi:10.12150/jnma.2019.167
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77278-P
Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MDM-2014-0445
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617
European Commission https://doi.org/10.13039/501100000780 777911
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
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