SYMPLECTIC STRUCTURES AND HAMILTONIAN FUNCTIONS CORRESPONDING TO A SYSTEM OF ODES-Reference-Cited by-同舟云学术

SYMPLECTIC STRUCTURES AND HAMILTONIAN FUNCTIONS CORRESPONDING TO A SYSTEM OF ODES

Published:2012-11-15 Issue:01 Volume:10 Page:1220023
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

TORRES DEL CASTILLO G. F.¹,GALINDO-LINARES E.²

Affiliation:

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

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021988781220023X

Reference11 articles.

1. Solution of the inverse problem of the calculus of variations

2. The Inverse Variational Problem in Classical Mechanics

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