Periodic solutions and their stability of some higher-order positively homogenous differential equations

In the present paper we study periodic solutions and their stability of the m-order differential equations of the form x^(m) f_n(x) = h(t), where the integers m, n2, f_n(x)= x^n or $^ n with = 1, and h(t) is a continuous T-periodic function of non-zero average, and is a positive small parameter. By...

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Detalhes bibliográficos
Autores: Cen, Xiuli, Llibre, Jaume|||0000-0002-9511-5999, Zhang, Meirong
Formato: artículo
Fecha de publicación:2018
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:199365
Acesso em linha:https://ddd.uab.cat/record/199365
https://dx.doi.org/urn:doi:10.1016/j.chaos.2017.11.032
Access Level:acceso abierto
Palavra-chave:M-order differential equation
Averaging theory
Periodic solution
Stability
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spelling Periodic solutions and their stability of some higher-order positively homogenous differential equationsCen, XiuliLlibre, Jaume|||0000-0002-9511-5999Zhang, MeirongM-order differential equationAveraging theoryPeriodic solutionStabilityIn the present paper we study periodic solutions and their stability of the m-order differential equations of the form x^(m) f_n(x) = h(t), where the integers m, n2, f_n(x)= x^n or $^ n with = 1, and h(t) is a continuous T-periodic function of non-zero average, and is a positive small parameter. By using the averaging theory, we will give the existence of T-periodic solutions. Moreover, the instability and the linear stability of these periodic solutions will be obtained. 22018-01-0120182018-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/199365https://dx.doi.org/urn:doi:10.1016/j.chaos.2017.11.032reponame: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 MTM2013-40998-PAgència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/SGR-568open 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:1993652026-06-06T12:50:31Z
dc.title.none.fl_str_mv Periodic solutions and their stability of some higher-order positively homogenous differential equations
title Periodic solutions and their stability of some higher-order positively homogenous differential equations
spellingShingle Periodic solutions and their stability of some higher-order positively homogenous differential equations
Cen, Xiuli
M-order differential equation
Averaging theory
Periodic solution
Stability
title_short Periodic solutions and their stability of some higher-order positively homogenous differential equations
title_full Periodic solutions and their stability of some higher-order positively homogenous differential equations
title_fullStr Periodic solutions and their stability of some higher-order positively homogenous differential equations
title_full_unstemmed Periodic solutions and their stability of some higher-order positively homogenous differential equations
title_sort Periodic solutions and their stability of some higher-order positively homogenous differential equations
dc.creator.none.fl_str_mv Cen, Xiuli
Llibre, Jaume|||0000-0002-9511-5999
Zhang, Meirong
author Cen, Xiuli
author_facet Cen, Xiuli
Llibre, Jaume|||0000-0002-9511-5999
Zhang, Meirong
author_role author
author2 Llibre, Jaume|||0000-0002-9511-5999
Zhang, Meirong
author2_role author
author
dc.subject.none.fl_str_mv M-order differential equation
Averaging theory
Periodic solution
Stability
topic M-order differential equation
Averaging theory
Periodic solution
Stability
description In the present paper we study periodic solutions and their stability of the m-order differential equations of the form x^(m) f_n(x) = h(t), where the integers m, n2, f_n(x)= x^n or $^ n with = 1, and h(t) is a continuous T-periodic function of non-zero average, and is a positive small parameter. By using the averaging theory, we will give the existence of T-periodic solutions. Moreover, the instability and the linear stability of these periodic solutions will be obtained.
publishDate 2018
dc.date.none.fl_str_mv 2
2018-01-01
2018
2018-01-01
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/199365
https://dx.doi.org/urn:doi:10.1016/j.chaos.2017.11.032
url https://ddd.uab.cat/record/199365
https://dx.doi.org/urn:doi:10.1016/j.chaos.2017.11.032
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 MTM2013-40998-P
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/SGR-568
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
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eu_rights_str_mv openAccess
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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
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