Hamiltonians and Lagrangians of non-autonomous one-dimensional mechanical systems

被引：0
|
作者：
Torres del Castillo, G. F. [1 ]
Rubalcava Garcia, I.
机构：
[1] Univ Autonoma Puebla, Inst Ciencias, Dept Fis Matemat, Puebla 72570, Mexico
[2] Univ Autonoma Puebla, Fac Ciencias Fis Matemat, Puebla 72001, Pue, Mexico
来源：
REVISTA MEXICANA DE FISICA | 2006年 / 52卷 / 05期
关键词：
non-autonomous systems; Hamilton equations; Lagrangians;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
It is shown that a given non-autonomous system of two first-order ordinary differential equations can be expressed in Hamiltonian form. The derivation presented here allows us to obtain previously known results such as the infinite number of Hamiltonians in the autonomous case and the Helmholtz condition for the existence of a Lagrangian.
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页码：429 / 432
页数：4
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