On the local Hamiltonian structure of vector fields
chao-dyn
2009-10-22 v1 Chaotic Dynamics
Exactly Solvable and Integrable Systems
solv-int
Abstract
We derive a canonical form for smooth vector fields on . We use this to demonstrate the local multi-Hamiltonian nature of the corresponding flows. Associated with the canonical form is an inhomogenious linear PDE whose solutions provide conserved measures. These can be used to construct the local Hamiltonians.
Keywords
Cite
@article{arxiv.chao-dyn/9412009,
title = {On the local Hamiltonian structure of vector fields},
author = {P. Crehan},
journal= {arXiv preprint arXiv:chao-dyn/9412009},
year = {2009}
}
Comments
Standard LaTeX, 8 pages, no macros. Appeared in Mod. Phys. Lett. A, Vol.9 No.15 (1994) 1399-1405