Artículos de revistas
On the dynamics of the Euler equations on so(4)
Fecha
2020-04-02Registro en:
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
Autor
Universidade Estadual Paulista (Unesp)
Universitat Autònoma de Barcelona
Universidade Federal de Mato Grosso
Institución
Resumen
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.