On the local Hamiltonian structure of vector fields

P. Crehan

doi:10.1142/s0217732394001222

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arXiv · chao-dyn/9412009

On the local Hamiltonian structure of vector fields

P. Crehan

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Abstract

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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P. Crehan. 1994-12-17. On the local Hamiltonian structure of vector fields. https://doi.org/10.1142/s0217732394001222

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