| dc.creator |
Iglesias, David |
|
| dc.creator |
Marrero, Juan Carlos |
|
| dc.creator |
Martín de Diego, David |
|
| dc.creator |
Sosa, Diana |
|
| dc.date |
2007-11-21T16:17:45Z |
|
| dc.date |
2007-11-21T16:17:45Z |
|
| dc.date |
2007-05-02 |
|
| dc.date.accessioned |
2017-01-31T00:58:54Z |
|
| dc.date.available |
2017-01-31T00:58:54Z |
|
| dc.identifier |
arXiv:0705.0278v1 |
|
| dc.identifier |
Journal of Mathematical Physics 48(8): 083513 (2007) |
|
| dc.identifier |
0022-2488 |
|
| dc.identifier |
http://hdl.handle.net/10261/2281 |
|
| dc.identifier |
10.1063/1.2776845 |
|
| dc.identifier.uri |
http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2281 |
|
| dc.description |
50 pages.-- Pre-print archive.-- PACS: 45.05.+x;
02.20.Sv; 02.40.Hw |
|
| dc.description |
This paper presents a geometric description of Lagrangian and Hamiltonian systems on Lie affgebroids subject to affine nonholonomic constraints. We define the notion of nonholonomically constrained system, and characterize regularity conditions that guarantee that the dynamics of the system can be obtained as a suitable projection of the unconstrained dynamics. It is shown that one can define an almost aff-Poisson bracket on the constraint AV-bundle, which plays a prominent role in the description of nonholonomic dynamics. Moreover, these developments give a general description of nonholonomic systems and the unified treatment permits to study nonholonomic systems after or before reduction in the same framework. Also, it is not necessary to distinguish between linear or affine constraints and the methods are valid for explicitly time-dependent systems. |
|
| 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.publisher |
American Institute of Physics |
|
| dc.relation |
http://dx.doi.org/10.1063/1.2776845 |
|
| dc.rights |
openAccess |
|
| dc.subject |
Lie algebroids |
|
| dc.subject |
Lie affgebroids |
|
| dc.subject |
Lagrangian Mechanics |
|
| dc.subject |
Hamiltonian Mechanics |
|
| dc.subject |
Nonholonomic Mechanics |
|
| dc.subject |
Lagrange-d’Alembert equations |
|
| dc.subject |
Projectors |
|
| dc.subject |
AV-bundles |
|
| dc.subject |
Aff-Poisson brackets |
|
| dc.subject |
Non-holonomic brackets |
|
| dc.title |
A general framework for nonholonomic mechanics: Nonholonomic Systems on Lie affgebroids |
|
| dc.type |
Artículo |
|