On the dynamics of the Euler equations on so(4)
Loading...
Files
External sources
External sources
Date
Advisor
Coadvisor
Graduate program
Undergraduate course
Journal Title
Journal ISSN
Volume Title
Publisher
Type
Article
Access right
Files
External sources
External sources
Abstract
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.
Description
Keywords
Euler equations on so(4), periodic orbits, reversible systems
Language
English
Citation
Dynamical Systems, v. 35, n. 2, p. 361-368, 2020.
