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SYMPLECTIC STRUCTURES AND HAMILTONIAN FUNCTIONS CORRESPONDING TO A SYSTEM OF ODES

Departamento de Física Matemática, Instituto de Ciencias, Universidad Autónoma de Puebla, 72570 Puebla, Puebla, México

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Facultad de Ciencias Físico Matemáticas, Universidad Autónoma de Puebla, Apartado Postal 1152, 72001 Puebla, Puebla, México

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https://doi.org/10.1142/S021988781220023XCited by:1 (Source: Crossref)

Abstract

It is shown that, given a system of 2n first-order (or of n second-order) ODEs, there exists an infinite number of symplectic structures and Hamiltonian functions such that the corresponding Hamilton equations are locally equivalent to the given system of equations, without restrictions analogous to the Helmholtz conditions.

Keywords:

AMSC: 37J05, 70H05, 34A26

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