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http://dspace.mediu.edu.my:8181/xmlui/handle/10261/4170Full metadata record
| DC Field | Value | Language |
|---|---|---|
| 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 | - |
| Appears in Collections: | Digital Csic | |
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