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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Buzzi, Claudio A. [1] ; Llibre, Jaume [2] ; Pazim, Rubens [3]
Total Authors: 3
Affiliation:
[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
Total Affiliations: 3
Document type: Journal article
Source: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL; v. 35, n. 2 DEC 2019.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 13/24541-0 - Ergodic and qualitative theory of dynamical systems
Grantee:Claudio Aguinaldo Buzzi
Support Opportunities: Research Projects - Thematic Grants