On the dynamics of the Euler equations on so(4)
Buzzi, Claudio (Universidade Estadual Paulista. Departamento de Matemática (Brazil))
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Pazim, Rubens (Universidade Federal de Mato Grosso. Instituto de Ciências Naturais Humanas e Sociais (Brazil))

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

DOI: 10.1080/14689367.2019.1703906

Post-print 9 p, 506.1 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
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