On the periodic solutions of perturbed 4D non-resonant systems

We provide sufficient conditions for the existence of periodic solutions of a 4D non-resonant system perturbed by smooth or non-smooth functions. We apply these results to study the small amplitude periodic solutions of the non-linear planar double pendulum perturbed by smooth or non-smooth function...

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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:169432
Acceso en línea:https://ddd.uab.cat/record/169432
https://dx.doi.org/urn:doi:10.1007/s40863-015-0017-1
Access Level:acceso abierto
Palabra clave:Averaging theory
Double pendulum
Non-resonant systems
Non-smooth dynamical systems
Periodic solution
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spelling On the periodic solutions of perturbed 4D non-resonant systemsLlibre, Jaume|||0000-0002-9511-5999Novaes, Douglas D.|||0000-0002-9147-8442Teixeira, Marco Antonio|||0000-0002-5386-9282Averaging theoryDouble pendulumNon-resonant systemsNon-smooth dynamical systemsPeriodic solutionWe provide sufficient conditions for the existence of periodic solutions of a 4D non-resonant system perturbed by smooth or non-smooth functions. We apply these results to study the small amplitude periodic solutions of the non-linear planar double pendulum perturbed by smooth or non-smooth function. 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/169432https://dx.doi.org/urn:doi:10.1007/s40863-015-0017-1reponame: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:1694322026-06-06T12:50:31Z
dc.title.none.fl_str_mv On the periodic solutions of perturbed 4D non-resonant systems
title On the periodic solutions of perturbed 4D non-resonant systems
spellingShingle On the periodic solutions of perturbed 4D non-resonant systems
Llibre, Jaume|||0000-0002-9511-5999
Averaging theory
Double pendulum
Non-resonant systems
Non-smooth dynamical systems
Periodic solution
title_short On the periodic solutions of perturbed 4D non-resonant systems
title_full On the periodic solutions of perturbed 4D non-resonant systems
title_fullStr On the periodic solutions of perturbed 4D non-resonant systems
title_full_unstemmed On the periodic solutions of perturbed 4D non-resonant systems
title_sort On the periodic solutions of perturbed 4D non-resonant systems
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
Double pendulum
Non-resonant systems
Non-smooth dynamical systems
Periodic solution
topic Averaging theory
Double pendulum
Non-resonant systems
Non-smooth dynamical systems
Periodic solution
description We provide sufficient conditions for the existence of periodic solutions of a 4D non-resonant system perturbed by smooth or non-smooth functions. We apply these results to study the small amplitude periodic solutions of the non-linear planar double pendulum perturbed by smooth or non-smooth function.
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/169432
https://dx.doi.org/urn:doi:10.1007/s40863-015-0017-1
url https://ddd.uab.cat/record/169432
https://dx.doi.org/urn:doi:10.1007/s40863-015-0017-1
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
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