1. Singular Lagrangians and precontact Hamiltonian systems.
- Author
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de León, Manuel and Lainz Valcázar, Manuel
- Subjects
- *
HAMILTONIAN systems , *CONSTRAINT algorithms , *LAGRANGIAN functions , *MATHEMATICAL equivalence , *LAGRANGE equations - Abstract
In this paper, we discuss the singular Lagrangian systems on the framework of contact geometry. These systems exhibit a dissipative behavior in contrast with the symplectic scenario. We develop a constraint algorithm similar to the presymplectic one studied by Gotay and Nester (the geometrization of the well-known Dirac–Bergmann algorithm). We also construct the Hamiltonian counterpart and prove the equivalence with the Lagrangian side. A Dirac–Jacobi bracket is constructed similar to the Dirac bracket. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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