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Inverse problem and equivalent contact systems
(Journal of Geometry and Physics, 2022)
We present several results on the inverse problem and equivalent contact Lagrangian systems. These problems naturally lead to consider smooth transformations on the z variable (i.e., reparametrizations of the action). We ...
Hamilton–Jacobi theory and integrability for autonomous and non-autonomous contact systems
(Journal of Geometry and Physics, 2023)
In this paper, we study the integrability of contact Hamiltonian systems, both time-dependent and independent. In order to do so, we construct a Hamilton–Jacobi theory for these systems following two approaches, obtaining ...