On the local Hamiltonian structure of vector fields

Details On the local Hamiltonian structure of vector fields On the local Hamiltonian structure of vector fields

1994-12-17

arxiv.org/abs/chao-dyn/9412009v1

Nonlinear Sciences

Chaotic Dynamics

Standard LaTeX, 8 pages, no macros. Appeared in Mod. Phys. Lett. A, Vol.9 No.15 (1994) 1399-1405

Scientific paper

10.1142/S0217732394001222

We derive a canonical form for smooth vector fields on $\Re^{n+1}$. 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.

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