On the dynamics of the Euler equations on so(4)

Detalhes bibliográficos
Autor(a) principal: Buzzi, Claudio A. [UNESP]
Data de Publicação: 2020
Outros Autores: Llibre, Jaume, Pazim, Rubens
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1080/14689367.2019.1703906
http://hdl.handle.net/11449/199866
Resumo: This paper deals with the Euler equations on the Lie Algebra so(4). These equations are given by a polynomial differential system in (Formula presented.). We prove that this differential system has four 3-dimensional invariant manifolds and we give a complete description of its dynamics on these invariant manifolds. In particular, each of these invariant manifolds are fulfilled by periodic orbits except in a zero Lebesgue measure set.
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spelling On the dynamics of the Euler equations on so(4)Euler equations on so(4)periodic orbitsreversible systemsThis paper deals with the Euler equations on the Lie Algebra so(4). These equations are given by a polynomial differential system in (Formula presented.). We prove that this differential system has four 3-dimensional invariant manifolds and we give a complete description of its dynamics on these invariant manifolds. In particular, each of these invariant manifolds are fulfilled by periodic orbits except in a zero Lebesgue measure set.Departamento de Matemática IBILCE–UNESP Universidade Estadual PaulistaDepartament de Matemàtiques Universitat Autònoma de BarcelonaInstituto de Ciências Naturais Humanas e Sociais Universidade Federal de Mato GrossoDepartamento de Matemática IBILCE–UNESP Universidade Estadual PaulistaUniversidade Estadual Paulista (Unesp)Universitat Autònoma de BarcelonaUniversidade Federal de Mato GrossoBuzzi, Claudio A. [UNESP]Llibre, JaumePazim, Rubens2020-12-12T01:51:26Z2020-12-12T01:51:26Z2020-04-02info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article361-368http://dx.doi.org/10.1080/14689367.2019.1703906Dynamical Systems, v. 35, n. 2, p. 361-368, 2020.1468-93751468-9367http://hdl.handle.net/11449/19986610.1080/14689367.2019.17039062-s2.0-8507707587066828677607174450000-0003-2037-8417Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengDynamical Systemsinfo:eu-repo/semantics/openAccess2021-12-10T14:59:53Zoai:repositorio.unesp.br:11449/199866Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:29:48.175874Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv On the dynamics of the Euler equations on so(4)
title On the dynamics of the Euler equations on so(4)
spellingShingle On the dynamics of the Euler equations on so(4)
Buzzi, Claudio A. [UNESP]
Euler equations on so(4)
periodic orbits
reversible systems
title_short On the dynamics of the Euler equations on so(4)
title_full On the dynamics of the Euler equations on so(4)
title_fullStr On the dynamics of the Euler equations on so(4)
title_full_unstemmed On the dynamics of the Euler equations on so(4)
title_sort On the dynamics of the Euler equations on so(4)
author Buzzi, Claudio A. [UNESP]
author_facet Buzzi, Claudio A. [UNESP]
Llibre, Jaume
Pazim, Rubens
author_role author
author2 Llibre, Jaume
Pazim, Rubens
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universitat Autònoma de Barcelona
Universidade Federal de Mato Grosso
dc.contributor.author.fl_str_mv Buzzi, Claudio A. [UNESP]
Llibre, Jaume
Pazim, Rubens
dc.subject.por.fl_str_mv Euler equations on so(4)
periodic orbits
reversible systems
topic Euler equations on so(4)
periodic orbits
reversible systems
description This paper deals with the Euler equations on the Lie Algebra so(4). These equations are given by a polynomial differential system in (Formula presented.). We prove that this differential system has four 3-dimensional invariant manifolds and we give a complete description of its dynamics on these invariant manifolds. In particular, each of these invariant manifolds are fulfilled by periodic orbits except in a zero Lebesgue measure set.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-12T01:51:26Z
2020-12-12T01:51:26Z
2020-04-02
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1080/14689367.2019.1703906
Dynamical Systems, v. 35, n. 2, p. 361-368, 2020.
1468-9375
1468-9367
http://hdl.handle.net/11449/199866
10.1080/14689367.2019.1703906
2-s2.0-85077075870
6682867760717445
0000-0003-2037-8417
url http://dx.doi.org/10.1080/14689367.2019.1703906
http://hdl.handle.net/11449/199866
identifier_str_mv Dynamical Systems, v. 35, n. 2, p. 361-368, 2020.
1468-9375
1468-9367
10.1080/14689367.2019.1703906
2-s2.0-85077075870
6682867760717445
0000-0003-2037-8417
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Dynamical Systems
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 361-368
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808128661564424192

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