Now showing items 21-27 of 27

    • Oscillatory motions for the restricted planar circular three body problem 

      Guàrdia Munarriz, Marcel; Martín, Pau; Martínez-Seara Alonso, M. Teresa (2016-02-01)
      Article
      Open Access
      © 2015, Springer-Verlag Berlin Heidelberg. The restricted three body problem models the motion of a massless body under the influence of the Newtonian gravitational force caused by two other bodies called the primaries. ...
    • Oscillatory orbits in the restricted elliptic planar three body problem 

      Guàrdia Munarriz, Marcel; Martín, Pau; Sabbagh, Lara; Martínez-Seara Alonso, M. Teresa (Southwest Missouri State University, 2017-01-01)
      Article
      Open Access
      The restricted planar elliptic three body problem models the motion of a massless body under the Newtonian gravitational force of two other bodies, the primaries, which evolve in Keplerian ellipses. A trajectory is called ...
    • Secular instability in the three-body problem 

      Fejoz, J.; Guàrdia Munarriz, Marcel (2016-02-03)
      Article
      Open Access
      © 2016 European Union Consider the three-body problem, in the regime where one body revolves far away around the other two, in space, the masses of the bodies being arbitrary but fixed; in this regime, there are no resonances ...
    • SISTEMES HAMILTONIANS | FINAL 

      Guàrdia Munarriz, Marcel (Universitat Politècnica de Catalunya, 2023-05-30)
      Exam
      Restricted access to the UPC academic community
    • Splitting of separatrices in the resonances of nearly integrable Hamiltonian Systems of one and a half degrees of freedom 

      Guàrdia Munarriz, Marcel (2013)
      Article
      Open Access
      In this paper we consider general nearly integrable analytic Hamiltonian systems of one and a half degrees of freedom which are a trigonometric polynomial in the angular state variable. In the resonances of these systems ...
    • Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation 

      Guàrdia Munarriz, Marcel; Hani, Zaher; Haus, Emanuele; Maspero, Alberto; Procesi, Michela (2022-03-03)
      Article
      Open Access
      We consider the defocusing cubic nonlinear Schrödinger equation (NLS) on the two-dimensional torus. The equation admits a special family of elliptic invariant quasiperiodic tori called finite-gap solutions. These are ...
    • Symbolic dynamics in the restricted elliptic isosceles three body problem 

      Guàrdia Munarriz, Marcel; Paradela Díaz, Jaime; Martínez-Seara Alonso, M. Teresa; Vidal Díaz, Claudio (2021-09-05)
      Article
      Restricted access - publisher's policy
      The restricted elliptic isosceles three body problem (REI3BP) models the motion of a massless body under the influence of the Newtonian gravitational force caused by two other bodies called the primaries. The primaries of ...