Home > Articles > Published articles > On the dynamics of the Euler equations on so(4) |
Date: | 2019 |
Abstract: | This paper deals with the Euler equations on the Lie Algebra so(4). These equations are given by a polynomial differential system in R6. 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. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Euler equations on so(4) ; Periodic Orbits ; Reversible systems |
Published in: | Dynamical Systems, Vol. 35, Issue 2 (December 2019) , p. 361-368, ISSN 1468-9375 |
Post-print 9 p, 506.1 KB |