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http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2283Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.creator | Marrero, Juan Carlos | - |
| dc.creator | Martín de Diego, David | - |
| dc.creator | Martínez, Eduardo | - |
| dc.date | 2007-11-21T19:23:21Z | - |
| dc.date | 2007-11-21T19:23:21Z | - |
| dc.date | 2006-11-27 | - |
| dc.date.accessioned | 2017-01-31T00:58:54Z | - |
| dc.date.available | 2017-01-31T00:58:54Z | - |
| dc.identifier | arXiv:math/0506299v2 | - |
| dc.identifier | Nonlinearity, vol. 19, no. 6 (Jun. 2006), pp. 1313-1348. | - |
| dc.identifier | 0951-7715 | - |
| dc.identifier | http://hdl.handle.net/10261/2283 | - |
| dc.identifier.uri | http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2283 | - |
| dc.description | The purpose of this paper is to describe geometrically discrete Lagrangian and Hamiltonian Mechanics on Lie groupoids. From a variational principle we derive the discrete Euler-Lagrange equations and we introduce a symplectic 2-section, which is preserved by the Lagrange evolution operator. In terms of the discrete Legendre transformations we define the Hamiltonian evolution operator which is a symplectic map with respect to the canonical symplectic 2-section on the prolongation of the dual of the Lie algebroid of the given groupoid. The equations we get include as particular cases the classical discrete Euler-Lagrange equations, the discrete Euler-Poincaré and discrete Lagrange-Poincaré equations. Our results can be important for the construction of geometric integrators for continuous Lagrangian systems. | - |
| dc.description | This work has been partially supported by MICYT (Spain) Grants BMF 2003-01319, MTM 2004-7832 and BMF 2003-02532. | - |
| dc.description | Peer reviewed | - |
| dc.language | eng | - |
| dc.publisher | Institute of Physics Publishing | - |
| dc.relation | Preprint | - |
| dc.rights | openAccess | - |
| dc.subject | Discrete Mechanics | - |
| dc.subject | Lie groupoids | - |
| dc.subject | Lie algebroids | - |
| dc.subject | Lagrangian Mechanics | - |
| dc.subject | Hamiltonian Mechanics | - |
| dc.title | Discrete Lagrangian and Hamiltonian Mechanics on Lie groupoids | - |
| dc.type | Pre-print | - |
| Appears in Collections: | Digital Csic | |
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