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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 . We prove that this differential system has… Click to show full abstract

This paper deals with the Euler equations on the Lie Algebra so(4). These equations are given by a polynomial differential system in . 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.

Keywords: euler equations; dynamics euler; invariant manifolds

Journal Title: Dynamical Systems
Year Published: 2019

Link to full text (if available)


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