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

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dc.contributor.authorBuzzi, Claudio A. [UNESP]
dc.contributor.authorLlibre, Jaume
dc.contributor.authorPazim, Rubens
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversitat Autònoma de Barcelona
dc.contributor.institutionUniversidade Federal de Mato Grosso
dc.date.accessioned2020-12-12T01:51:26Z
dc.date.available2020-12-12T01:51:26Z
dc.date.issued2020-04-02
dc.description.abstractThis 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.en
dc.description.affiliationDepartamento de Matemática IBILCE–UNESP Universidade Estadual Paulista
dc.description.affiliationDepartament de Matemàtiques Universitat Autònoma de Barcelona
dc.description.affiliationInstituto de Ciências Naturais Humanas e Sociais Universidade Federal de Mato Grosso
dc.description.affiliationUnespDepartamento de Matemática IBILCE–UNESP Universidade Estadual Paulista
dc.format.extent361-368
dc.identifierhttp://dx.doi.org/10.1080/14689367.2019.1703906
dc.identifier.citationDynamical Systems, v. 35, n. 2, p. 361-368, 2020.
dc.identifier.doi10.1080/14689367.2019.1703906
dc.identifier.issn1468-9375
dc.identifier.issn1468-9367
dc.identifier.lattes6682867760717445
dc.identifier.orcid0000-0003-2037-8417
dc.identifier.scopus2-s2.0-85077075870
dc.identifier.urihttp://hdl.handle.net/11449/199866
dc.language.isoeng
dc.relation.ispartofDynamical Systems
dc.sourceScopus
dc.subjectEuler equations on so(4)
dc.subjectperiodic orbits
dc.subjectreversible systems
dc.titleOn the dynamics of the Euler equations on so(4)en
dc.typeArtigo
unesp.advisor.orcid0000-0003-2037-8417[1]
unesp.author.lattes6682867760717445[1]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas