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| Title: | A Survey of Lagrangian Mechanics and Control on Lie algebroids and groupoids |
| Authors: | Cortés, Jorge; León, Manuel de; Marrero, Juan Carlos; Martín de Diego, David; Martínez, Eduardo |
| Keywords: | Lie algebroids Lie groupoids Lagrangian Mechanics Hamiltonian Mechanics Nonholonomic Lagrangian systems Mechanical control systems Discrete mechanics Classical field theory |
| Issue Date: | 3-Nov-2005 |
| Publisher: | World Scientific Publishing |
| Citation: | arXiv:math-ph/0511009v1 International Journal of Geometric Methods in Modern Physics, 3(3): 509-558 (2006) |
| Abstract: | In this survey, we present a geometric description of Lagrangian and Hamiltonian Mechanics on Lie algebroids. The flexibility of the Lie algebroid formalism allows us to analyze systems subject to nonholonomic constraints, mechanical control systems, Discrete Mechanics and extensions to Classical Field Theory within a single framework. Various examples along the discussion illustrate the soundness of the approach. |
| URI: | http://hdl.handle.net/10261/2282 |
| ISSN: | 0219-8878 |
| Appears in Collections: | (ICMAT) Artículos |
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| File | Description | Size | Format | |
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| Survey.pdf | 634,62 kB | Adobe PDF |  View/Open |
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