• Hamilton–Jacobi theory and integrability for autonomous and non-autonomous contact systems 

      de León, Manuel; Lainz, Manuel; López-Gordón, Asier; Rivas, Xavier (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 ...
    • Inverse problem and equivalent contact systems 

      de León, Manuel; Gaset, Jordi ; Lainz, Manuel (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 ...