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Título: | Singular Lagrangian systems and variational constrained mechanics on Lie algebroids |
Autor: | Iglesias, David; Marrero, Juan Carlos; Martin de Diego, David CSIC ORCID ; Sosa, Diana | Palabras clave: | Lie algebroids Lagrangian Mechanics Hamiltonian Mechanics Constraint algorithm Reduction Singular Lagrangian systems Vakonomic mechanics Variational calculus |
Fecha de publicación: | 19-jun-2007 | Citación: | arXiv:0706.2789v1 | Resumen: | The purpose of this paper is to describe Lagrangian Mechanics for constrained systems on Lie algebroids, a natural framework which covers a wide range of situations (systems on Lie groups, quotients by the action of a Lie group, standard tangent bundles...). In particular, we are interested in two cases: singular Lagrangian systems and vakonomic mechanics (variational constrained mechanics). Several examples illustrate the interest of these developments. | URI: | http://hdl.handle.net/10261/2524 |
Aparece en las colecciones: | (ICMAT) Artículos |
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Singular.pdf | 551,44 kB | Adobe PDF | Visualizar/Abrir |
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