Hamiltonians and Lagrangians of non-autonomous one-dimensional mechanical systems
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| Natura: | Artículo científico |
| Lingua: | en |
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Sociedad Mexicana de Física A.C.
2006
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| _version_ | 1876478568034205696 |
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| author | I. Rubalcava García |
| author_facet | I. Rubalcava García |
| contents | Hamiltonians and Lagrangians of non-autonomous one-dimensional mechanical systems I. Rubalcava García G.F. Torres del Castillo Física, Astronomía y Matemáticas Non Lagrangians autonomous systems Hamilton equations It is shown that a given non-autonomous system of two first-order ordinary differential equations can be expressed in Hamiltonian form. Thederivation presented here allows us to obtain previously known results such as the infinite number of Hamiltonians in the autonomous caseand the Helmholtz condition for the existence of a Lagrangian 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57065307 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.5 Vol.52 |
| format | Artículo científico |
| id | redalyc_57065307 |
| institution | Redalyc |
| language | en |
| publishDate | 2006 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Hamiltonians and Lagrangians of non-autonomous one-dimensional mechanical systems I. Rubalcava García Física, Astronomía y Matemáticas Non Lagrangians autonomous systems Hamilton equations Hamiltonians and Lagrangians of non-autonomous one-dimensional mechanical systems I. Rubalcava García G.F. Torres del Castillo Física, Astronomía y Matemáticas Non Lagrangians autonomous systems Hamilton equations It is shown that a given non-autonomous system of two first-order ordinary differential equations can be expressed in Hamiltonian form. Thederivation presented here allows us to obtain previously known results such as the infinite number of Hamiltonians in the autonomous caseand the Helmholtz condition for the existence of a Lagrangian 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57065307 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.5 Vol.52 |
| title | Hamiltonians and Lagrangians of non-autonomous one-dimensional mechanical systems |
| topic | Física, Astronomía y Matemáticas Non Lagrangians autonomous systems Hamilton equations |
| url | https://www.redalyc.org/articulo.oa?id=57065307 |