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Singular Lagrangian systems and variational constrained mechanics on Lie algebroids
| Content Provider | Scilit |
|---|---|
| Author | Iglesias, D. Marrero, J. C. de Diego, David Martin Sosa, D. |
| Copyright Year | 2008 |
| Description | Journal: Dynamical Systems The purpose of this article 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. |
| Related Links | http://arxiv.org/pdf/0706.2789 |
| Ending Page | 397 |
| Page Count | 47 |
| Starting Page | 351 |
| ISSN | 14689367 |
| e-ISSN | 14689375 |
| DOI | 10.1080/14689360802294220 |
| Journal | Dynamical Systems |
| Issue Number | 3 |
| Volume Number | 23 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2008-09-05 |
| Access Restriction | Open |
| Subject Keyword | Journal: Dynamical Systems Applied Mathematics Lie Algebroids Lagrangian Mechanics Hamiltonian Mechanics Constraint Algorithm Singular Lagrangian Systems Vakonomic Mechanics Variational Calculus |
| Content Type | Text |
| Subject | Mathematics Computer Science Applications |