• Application of Herglotz's variational principle to electromagnetic systems with dissipation 

      Gaset, Jordi; Marin-Salvador, Adria (International Journal of Geometric Methods in Modern Physics, 2022)
      This work applies the contact formalism of classical mechanics and classical field theory, introduced by Herglotz and later developed in the context of contact geometry, to describe electromagnetic systems with dissipation. ...
    • 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 ...
    • Methodology for a comparative quantitative analysis of film colour: a comparison between Cannes and box-office results 

      McGowan, Nadia; Gaset, Jordi (Visual Studies, 2023)
      This paper proposes a method for quantitative colour analysis aimed at determining colour variation between different sets of films with a common selection criterion. The process is exemplified by comparing films selected ...
    • Multicontact formulation for non-conservative field theories 

      de León, Manuel; Gaset, Jordi; Muñoz-Lecanda, Miguel C.; Rivas, Xavier; Román-Roy, Narciso (Journal of Physics A: Mathematical and Theoretical, 2023)
      A new geometric structure inspired by multisymplectic and contact geometries, which we call multicontact structure, is developed to describe non-conservative classical field theories. Using the differential forms that ...
    • Symmetries, Conservation and Dissipation in Time-Dependent Contact Systems 

      Gaset, Jordi; López-Gordón, Asier; Rivas, Xavier (Fortschritte der Physik, 2023)
      In contact Hamiltonian systems, the so-called dissipated quantities are akin to conserved quantities in classical Hamiltonian systems. In this article, a Noether's theorem for non-autonomous contact Hamiltonian systems is ...
    • Time-dependent contact mechanics 

      de León, Manuel; Gaset, Jordi; Gràcia, Xavier; Muñoz-Lecanda, Miguel C.; Rivas, Xavier (Monatshefte fur Mathematik, 2023)
      Contact geometry allows us to describe some thermodynamic and dissipative systems. In this paper we introduce a new geometric structure in order to describe time-dependent contact systems: cocontact manifolds. Within this ...