| dc.creator |
Cortés, Jorge |
|
| dc.creator |
León, Manuel de |
|
| dc.creator |
Marrero, Juan Carlos |
|
| dc.creator |
Martínez, Eduardo |
|
| dc.date |
2008-05-12T14:23:28Z |
|
| dc.date |
2008-05-12T14:23:28Z |
|
| dc.date |
2008-04-28 |
|
| dc.date.accessioned |
2017-01-31T01:15:05Z |
|
| dc.date.available |
2017-01-31T01:15:05Z |
|
| dc.identifier |
arXiv:math-ph/0512003v3 |
|
| dc.identifier |
Discrete and Continuous Dynamical Systems [in press] |
|
| dc.identifier |
1078-0947 |
|
| dc.identifier |
http://hdl.handle.net/10261/4170 |
|
| dc.identifier.uri |
http://dspace.mediu.edu.my:8181/xmlui/handle/10261/4170 |
|
| dc.description |
To appear in Discrete and Continuous Dynamical Systems A.-- 56 pages.-- 2000 MSC Classes: 70F25, 70H03, 70H33, 37J60, 53D17. |
|
| dc.description |
This paper presents a geometric description on Lie algebroids of Lagrangian systems subject to nonholonomic constraints. The Lie algebroid framework provides a natural generalization of classical tangent bundle geometry. We define the notion of nonholonomically constrained system, and characterize regularity conditions that guarantee the dynamics of the system can be obtained as a suitable projection of the unconstrained dynamics. The proposed novel formalism provides new insights into the geometry of nonholonomic systems, and allows us to treat in a unified way a variety of situations, including systems with symmetry, morphisms and reduction, and nonlinearly constrained systems. Various examples illustrate the results. |
|
| dc.description |
This work has been partially supported by Spanish Ministry of Education and Culture grants MTM2004-7832, BFM2003-01319, MTM2006-03322 and BFM2003-02532. J. Cortés was partially supported by faculty research funds granted by the University of California, Santa Cruz. |
|
| dc.description |
Peer reviewed |
|
| dc.format |
676711 bytes |
|
| dc.format |
application/pdf |
|
| dc.language |
eng |
|
| dc.publisher |
University of Missouri |
|
| dc.relation |
DCDS-A-08 |
|
| dc.relation |
Preprint |
|
| dc.rights |
openAccess |
|
| dc.subject |
Nonholonomic Mechanics |
|
| dc.subject |
Lagrange-d’Alembert equations |
|
| dc.subject |
Lie algebroids |
|
| dc.subject |
Symmetry |
|
| dc.subject |
Reduction |
|
| dc.subject |
Differential Geometry |
|
| dc.subject |
Mathematical Physics |
|
| dc.title |
Nonholonomic systems on Lie algebroids |
|
| dc.type |
Pre-print |
|