dorsal/arxiv
View SchemaHamiltonians and Lagrangians of non-autonomous one-dimensional mechanical systems
| Authors | G. F. Torres del Castillo, I. Rubalcava Garcia |
|---|---|
| Categories | |
| ArXiv ID | physics/0611018 |
| URL | https://arxiv.org/abs/physics/0611018 |
| Journal | Rev. Mex. Fis., 52 (2006) 429 |
Abstract
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 allow 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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"abstract": "It is shown that a given non-autonomous system of two first-order ordinary\ndifferential equations can be expressed in Hamiltonian form. The derivation\npresented here allow us to obtain previously known results such as the infinite\nnumber of Hamiltonians in the autonomous case and the Helmholtz condition for\nthe existence of a Lagrangian.",
"arxiv_id": "physics/0611018",
"authors": [
"G. F. Torres del Castillo",
"I. Rubalcava Garcia"
],
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"journal_ref": "Rev. Mex. Fis., 52 (2006) 429",
"title": "Hamiltonians and Lagrangians of non-autonomous one-dimensional mechanical systems",
"url": "https://arxiv.org/abs/physics/0611018"
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