Contact formalism for dissipative mechanical systems on Lie algebroids
In this paper, we introduce a geometric description of contact Lagrangian and Hamiltonian systems on Lie algebroids in the framework of contact geometry, using the theory of prolongations. We discuss the relation between Lagrangian and Hamiltonian settings through a convenient notion of Legendre tra...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | In this paper, we introduce a geometric description of contact Lagrangian and
Hamiltonian systems on Lie algebroids in the framework of contact geometry,
using the theory of prolongations. We discuss the relation between Lagrangian
and Hamiltonian settings through a convenient notion of Legendre
transformation. We also discuss the Hamilton-Jacobi problem in this framework
and introduce the notion of a Legendrian Lie subalgebroid of a contact Lie
algebroid. |
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| DOI: | 10.48550/arxiv.2308.00990 |