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Singular Lagrangians and precontact Hamiltonian Systems
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Singular Lagrangians and precontact Hamiltonian Systems
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In this paper we discuss 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-Bergman 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.
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Cited by 1 Pith paper
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Linear Hamiltonians in generators of the real Jacobi group on the extended Siegel-Jacobi space and equations of motion attached
Presents equations of motion attached to linear Hamiltonians in generators of the real Jacobi group G^J_n(R) on the extended Siegel-Jacobi upper half space using its energy function.
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