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A constant of motion in 3D implies a local generalized Hamiltonian structure
- Source :
- Physics Letters A 234(1), 35-40 (1997)
- Publication Year :
- 2019
-
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.
Details
- Database :
- arXiv
- Journal :
- Physics Letters A 234(1), 35-40 (1997)
- Publication Type :
- Report
- Accession number :
- edsarx.1910.03888
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/S0375-9601(97)00558-6