SYMPLECTIC STRUCTURES AND HAMILTONIAN FUNCTIONS CORRESPONDING TO A SYSTEM OF ODES

被引：7

作者：

Torres Del Castillo, G. F. ^{[1
]}

Galindo-Linares, E. ^{[2
]}

机构：

[1] Univ Autonoma Puebla, Dept Fis Matemat, Inst Ciencias, Puebla 72570, Mexico

[2] Univ Autonoma Puebla, Fac Ciencias Fis Matemat, Puebla 72001, Mexico

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2013年 / 10卷 / 01期

关键词：

Hamiltonians; symplectic structures;

D O I：

10.1142/S021988781220023X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：9

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