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http://dspace.mediu.edu.my:8181/xmlui/handle/10261/4165| Title: | Unified formalism for non-autonomous mechanical systems |
| Keywords: | Lagrangian and Hamiltonian formalisms Autonomous mechanics Symplectic and presymplectic manifolds Mathematical Physics |
| Description: | 15 pp.-- MSC classes: 37J05, 53D05, 55R10, 70H03, 70H05. We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of regular and non-regular time-dependent mechanical systems, which is based on the approach of Skinner and Rusk (1983). The dynamical equations of motion and their compatibility and consistency are carefully studied, making clear that all the characteristics of the Lagrangian and the Hamiltonian formalisms are recovered in this formulation. As an example, it is studied a semidiscretization of the nonlinear wave equation proving the applicability of the proposed formalism. We acknowledge the financial support of Ministerio de Educación y Ciencia, Projects MTM2005-04947, MTM2007-62478, and S-0505/ESP/0158 of the CAM. One of us (MBL) also acknowledges the financial support of the FPU grant AP20040096. Peer reviewed |
| URI: | http://dspace.mediu.edu.my:8181/xmlui/handle/10261/4165 |
| Other Identifiers: | arXiv:0803.4085v1 [math-ph] http://hdl.handle.net/10261/4165 |
| Appears in Collections: | Digital Csic |
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