| dc.creator |
Iglesias, David |
|
| dc.creator |
Marrero, Juan Carlos |
|
| dc.creator |
Martín de Diego, David |
|
| dc.creator |
Sosa, Diana |
|
| dc.date |
2007-12-04T17:18:10Z |
|
| dc.date |
2007-12-04T17:18:10Z |
|
| dc.date |
2007-06-19 |
|
| dc.date.accessioned |
2017-01-31T00:59:21Z |
|
| dc.date.available |
2017-01-31T00:59:21Z |
|
| dc.identifier |
arXiv:0706.2789v1 |
|
| dc.identifier |
http://hdl.handle.net/10261/2524 |
|
| dc.identifier.uri |
http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2524 |
|
| dc.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. |
|
| dc.description |
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". |
|
| dc.description |
Peer reviewed |
|
| dc.language |
eng |
|
| dc.relation |
Preprint |
|
| dc.rights |
openAccess |
|
| dc.subject |
Lie algebroids |
|
| dc.subject |
Lagrangian Mechanics |
|
| dc.subject |
Hamiltonian Mechanics |
|
| dc.subject |
Constraint algorithm |
|
| dc.subject |
Reduction |
|
| dc.subject |
Singular Lagrangian systems |
|
| dc.subject |
Vakonomic mechanics |
|
| dc.subject |
Variational calculus |
|
| dc.title |
Singular Lagrangian systems and variational constrained mechanics on Lie algebroids |
|
| dc.type |
Pre-print |
|