Now showing items 1-3 of 3

    • Infinitesimal time reparametrisation and its applications 

      Cariñena Marzo, José Fernando; Martínez Fernandez, Eduardo; Muñoz Lecanda, Miguel Carlos (Springer, 2022-02-21)
      Article
      Open Access
      A geometric approach to Sundman infnitesimal time-reparametrisation is given and some of its applications are used to illustrate the general theory. Special emphasis is put on geodesic motions and systems described by ...
    • Structural aspects of Hamilton–Jacobi theory 

      Cariñena Marzo, José F.; Gràcia Sabaté, Francesc Xavier; Marmo, Giuseppe; Martínez Fernandez, Eduardo; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (2016-02-01)
      Article
      Open Access
      In our previous papers [11, 13] we showed that the Hamilton–Jacobi problem can be regarded as a way to describe a given dynamics on a phase space manifold in terms of a family of dynamics on a lower-dimensional manifold. ...
    • Sundman transformation and alternative tangent structures 

      Cariñena Marzo, José Fernando; Martínez Fernandez, Eduardo; Muñoz Lecanda, Miguel Carlos (Institute of Physics (IOP), 2023-04-12)
      Article
      Restricted access - publisher's policy
      A geometric approach to Sundman transformation defined by basic functions for systems of second-order differential equations is developed and the necessity of a change of the tangent structure by means of the function ...