On the generalized Hamiltonian structure of 3D dynamical systems
Mathematical Physics
2009-11-07 v1 math.MP
Abstract
The Poisson structures for 3D systems possessing one constant of motion can always be constructed from the solution of a linear PDE. When two constants of the motion are available the problem reduces to a quadrature and the structure functions include an arbitrary function of them.
Cite
@article{arxiv.math-ph/0211035,
title = {On the generalized Hamiltonian structure of 3D dynamical systems},
author = {F. Haas and J. Goedert},
journal= {arXiv preprint arXiv:math-ph/0211035},
year = {2009}
}