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

Autor(es)

Buzzi, Claudio A. ^[1] ; Llibre, Jaume ^[2] ; Pazim, Rubens ^[3]

Afiliação do(s) autor(es)

^[1] Univ Estadual Paulista, UNESP, IBILCE, Dept Matemat, Sao Jose Do Rio Preto, SP - Brazil

^[2] Univ Autonoma Barcelona, Dept Matemat, Barcelona - Spain

^[3] Univ Fed Mato Grosso, Inst Ciencias Nat Humanas & Sociais, Sinop, MT - Brazil

• Tipo de documento: Artigo Científico
• Fonte: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL; v. 35, n. 2 DEC 2019.
• Citações Web of Science: 0

Resumo

This paper deals with the Euler equations on the Lie Algebra so(4). These equations are given by a polynomial differential system in . 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. (AU)

• Processo FAPESP: 13/24541-0 - Teorias ergódica e qualitativa dos sistemas dinâmicos
• Beneficiário: Claudio Aguinaldo Buzzi
• Modalidade de apoio: Auxílio à Pesquisa - Temático