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arXiv · 1910.03888

A constant of motion in 3D implies a local generalized Hamiltonian structure

Benito Hernández-Bermejo·Victor Fairén
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Abstract

We demonstrate that a Poisson structure can always be associated to a general nonautonomous 3D vector field of ODEs by means of a diffeomorphism that preserves both the orientation and the volume of phase-space. The only prerequisite is the existence of one constant of motion.

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Benito Hernández-Bermejo, Victor Fairén. 2019-10-09. A constant of motion in 3D implies a local generalized Hamiltonian structure. https://doi.org/10.1016/s0375-9601(97)00558-6

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