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http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2524| Title: | Singular Lagrangian systems and variational constrained mechanics on Lie algebroids |
| Keywords: | Lie algebroids Lagrangian Mechanics Hamiltonian Mechanics Constraint algorithm Reduction Singular Lagrangian systems Vakonomic mechanics Variational calculus |
| Description: | 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. This work has been partially supported by MEC (Spain) Grants MTM 2006-03322, MTM 2004-7832, project “Ingenio Mathematica” (i-MATH) No. CSD 2006-00032 (Consolider-Ingenio 2010) and S-0505/ESP/0158 of the CAM. D. Iglesias wants to thank MEC for a Research Contract "Juan de la Cierva". Peer reviewed |
| URI: | http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2524 |
| Other Identifiers: | arXiv:0706.2789v1 http://hdl.handle.net/10261/2524 |
| Appears in Collections: | Digital Csic |
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