Centers on center manifolds in the Lu system

We confirm a conjecture of Mello and Coelho [Physics Letters A 373 (2009) 1116-1120] concerning the existence of centers on local center manifolds at equilibria of the Lü system of differential equations on R3. Our proof shows that the local center manifolds are algebraic ruled surfaces, and are uni...

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Detalles Bibliográficos
Autores: Mahdi, Adam, Pessoa, Claudio|||0000-0001-6790-1055, Shafer, Douglas S.
Tipo de recurso: artículo
Fecha de publicación:2011
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:150413
Acceso en línea:https://ddd.uab.cat/record/150413
https://dx.doi.org/urn:doi:10.1016/j.physleta.2011.08.022
Access Level:acceso abierto
Palabra clave:Center problem
Center manifold
Integrability
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spelling Centers on center manifolds in the Lu systemMahdi, AdamPessoa, Claudio|||0000-0001-6790-1055Shafer, Douglas S.Center problemCenter manifoldIntegrabilityWe confirm a conjecture of Mello and Coelho [Physics Letters A 373 (2009) 1116-1120] concerning the existence of centers on local center manifolds at equilibria of the Lü system of differential equations on R3. Our proof shows that the local center manifolds are algebraic ruled surfaces, and are unique. 22011-01-0120112011-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/150413https://dx.doi.org/urn:doi:10.1016/j.physleta.2011.08.022reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen 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:1504132026-06-06T12:50:31Z
dc.title.none.fl_str_mv Centers on center manifolds in the Lu system
title Centers on center manifolds in the Lu system
spellingShingle Centers on center manifolds in the Lu system
Mahdi, Adam
Center problem
Center manifold
Integrability
title_short Centers on center manifolds in the Lu system
title_full Centers on center manifolds in the Lu system
title_fullStr Centers on center manifolds in the Lu system
title_full_unstemmed Centers on center manifolds in the Lu system
title_sort Centers on center manifolds in the Lu system
dc.creator.none.fl_str_mv Mahdi, Adam
Pessoa, Claudio|||0000-0001-6790-1055
Shafer, Douglas S.
author Mahdi, Adam
author_facet Mahdi, Adam
Pessoa, Claudio|||0000-0001-6790-1055
Shafer, Douglas S.
author_role author
author2 Pessoa, Claudio|||0000-0001-6790-1055
Shafer, Douglas S.
author2_role author
author
dc.subject.none.fl_str_mv Center problem
Center manifold
Integrability
topic Center problem
Center manifold
Integrability
description We confirm a conjecture of Mello and Coelho [Physics Letters A 373 (2009) 1116-1120] concerning the existence of centers on local center manifolds at equilibria of the Lü system of differential equations on R3. Our proof shows that the local center manifolds are algebraic ruled surfaces, and are unique.
publishDate 2011
dc.date.none.fl_str_mv 2
2011-01-01
2011
2011-01-01
dc.type.none.fl_str_mv Article
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url https://ddd.uab.cat/record/150413
https://dx.doi.org/urn:doi:10.1016/j.physleta.2011.08.022
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
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