Periodic solutions for nonlinear differential systems: The second order bifurcation function

We are concerned here with the classical problem of Poincaré of persistence of periodic solutions under small perturbations. The main contribution of this work is to give the expression of the second order bifurcation function in more general hypotheses than the ones already existing in the literatu...

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Autores: Buica, Adriana|||0000-0002-4334-1572, Giné, Jaume|||0000-0001-7109-2553, Llibre, Jaume|||0000-0002-9511-5999
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:150714
Acceso en línea:https://ddd.uab.cat/record/150714
Access Level:acceso abierto
Palabra clave:Periodic solution
Lyapunov-Schmidt reduction
Period manifold
Small parameter
The second order bifurcation function
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spelling Periodic solutions for nonlinear differential systems: The second order bifurcation functionBuica, Adriana|||0000-0002-4334-1572Giné, Jaume|||0000-0001-7109-2553Llibre, Jaume|||0000-0002-9511-5999Periodic solutionLyapunov-Schmidt reductionPeriod manifoldSmall parameterThe second order bifurcation functionWe are concerned here with the classical problem of Poincaré of persistence of periodic solutions under small perturbations. The main contribution of this work is to give the expression of the second order bifurcation function in more general hypotheses than the ones already existing in the literature. We illustrate our main result constructing a second order bifurcation function for the perturbed symmetric Euler top. 22014-01-0120142014-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/150714reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2011-22877Ministerio 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-381Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-410open 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:1507142026-06-06T12:50:31Z
dc.title.none.fl_str_mv Periodic solutions for nonlinear differential systems: The second order bifurcation function
title Periodic solutions for nonlinear differential systems: The second order bifurcation function
spellingShingle Periodic solutions for nonlinear differential systems: The second order bifurcation function
Buica, Adriana|||0000-0002-4334-1572
Periodic solution
Lyapunov-Schmidt reduction
Period manifold
Small parameter
The second order bifurcation function
title_short Periodic solutions for nonlinear differential systems: The second order bifurcation function
title_full Periodic solutions for nonlinear differential systems: The second order bifurcation function
title_fullStr Periodic solutions for nonlinear differential systems: The second order bifurcation function
title_full_unstemmed Periodic solutions for nonlinear differential systems: The second order bifurcation function
title_sort Periodic solutions for nonlinear differential systems: The second order bifurcation function
dc.creator.none.fl_str_mv Buica, Adriana|||0000-0002-4334-1572
Giné, Jaume|||0000-0001-7109-2553
Llibre, Jaume|||0000-0002-9511-5999
author Buica, Adriana|||0000-0002-4334-1572
author_facet Buica, Adriana|||0000-0002-4334-1572
Giné, Jaume|||0000-0001-7109-2553
Llibre, Jaume|||0000-0002-9511-5999
author_role author
author2 Giné, Jaume|||0000-0001-7109-2553
Llibre, Jaume|||0000-0002-9511-5999
author2_role author
author
dc.subject.none.fl_str_mv Periodic solution
Lyapunov-Schmidt reduction
Period manifold
Small parameter
The second order bifurcation function
topic Periodic solution
Lyapunov-Schmidt reduction
Period manifold
Small parameter
The second order bifurcation function
description We are concerned here with the classical problem of Poincaré of persistence of periodic solutions under small perturbations. The main contribution of this work is to give the expression of the second order bifurcation function in more general hypotheses than the ones already existing in the literature. We illustrate our main result constructing a second order bifurcation function for the perturbed symmetric Euler top.
publishDate 2014
dc.date.none.fl_str_mv 2
2014-01-01
2014
2014-01-01
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/150714
url https://ddd.uab.cat/record/150714
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 MTM2011-22877
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-381
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-410
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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