Publicação: On the dynamics of the Euler equations on so(4)
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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.
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Euler equations on so(4), periodic orbits, reversible systems
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Inglês
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Dynamical Systems, v. 35, n. 2, p. 361-368, 2020.
