ON THE LOCAL HAMILTONIAN STRUCTURE OF VECTOR FIELDS

Author:

CREHAN P.1

Affiliation:

1. Department of Mathematics, University of Kyoto, Japan

Abstract

We derive a canonical form for smooth vector fields on ℜn+1. We use this to demonstrate the local multi-Hamiltonian nature of the corresponding flows. Associated with the canonical form is an inhomogeneous linear PDE whose solutions provide conserved measures. These can be used to construct the local Hamiltonians.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

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