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| Título: | Non-holonomic Lagrangian systems in jet manifolds |
Autor: | León, Manuel de; Marrero, Juan Carlos; Martin de Diego, David CSIC ORCID | Palabras clave: | [PACS] Manifolds and cell complexes [PACS] Partial differential equations |
Fecha de publicación: | 1997 | Editor: | Institute of Physics Publishing | Citación: | Journal of Physics A: Mathematical and General 30: 1167- 1190 (1997) | Resumen: | A geometrical setting in terms of jet manifolds is developed for time-dependent non-holonomic Lagrangian systems. An almost product structure on the evolution space is constructed in such a way that the constrained dynamics is obtained by projection of the free dynamics. A constrained Poincaré-Cartan 2-form is defined. If the non-holonomic system is singular, a constraint algorithm is constructed. Special attention is devoted to Čaplygin systems and a reduction theorem is proved. c 1997 IOP Publishing | URI: | http://hdl.handle.net/10261/102496 | DOI: | 10.1088/0305-4470/30/4/018 | Identificadores: | doi: 10.1088/0305-4470/30/4/018 issn: 0305-4470 |
| Aparece en las colecciones: | (CFMAC-IFF) Artículos |
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