Browsing by Contributor "Guàrdia Munarriz, Marcel"

Now showing items 1-8 of 8

    • Asymptotic size of Herman Rings using quasiconformal surgery 

      Granell i Yuste, Francesc (Universitat Politècnica de Catalunya, 2016-07)
      Bachelor thesis
      Open Access
      This thesis gives an introduction to the theory of quasiconformal surgery. To that end, we consider the complexification of the Arnol'd standard family of circle maps. These functions are analytically linearisable under ...

    • Chaotic dynamics of the Kepler problem with variable gravitational coefficient 

      Giralt Miron, Mar (Universitat Politècnica de Catalunya, 2017-07)
      Master thesis
      Open Access
      On this work we prove the presence of chaotic dynamics for the classical two-body Kepler problem with a time-periodic variable gravitational coefficient using two different methods, the stretching along the path (SAP) ...

    • Critical velocity in kink solutions of the sine-Gordon equation 

      Sanchis Ramírez, Guillem (Universitat Politècnica de Catalunya, 2017-07)
      Master thesis
      Open Access
      The goal of this work is to present a way to deduce the value of the critical velocity observed in soliton-like solutions of a perturbed version of the sine-Gordon equation. To do so, an ODE system is obtained from the ...

    • Homoclinic and chaotic phenomena to L3 in the restricted 3-Body Problem 

      Giralt Miron, Mar (Universitat Politècnica de Catalunya, 2022-11-25)
      Doctoral thesis
      Open Access
      (English) The Restricted 3-Body Problem models the motion of a body of negligible mass under the gravitational influence of two massive bodies, called the primaries. If the primaries perform circular motions and the ...

    • Instabilities in Hamiltonian systems 

      Granell i Yuste, Francesc (Universitat Politècnica de Catalunya, 2017-07)
      Master thesis
      Open Access
      In 1964, V. I. Arnol'd proved the existence of nearly-integrable Hamiltonian systems which have global instabilities (global chaotic behaviour). This phenomenon is nowadays termed under the name "Arnol'd diffusion". One ...

    • Regularization of the triple collision in the collinear three body problem 

      Gutiérrez Bisbal, Javier (Universitat Politècnica de Catalunya, 2019-07)
      Master thesis
      Open Access
      This is a work about the collision of 3 celestial bodies which are aligned in a straight line, by following Newton's Gravitational Law. There is an introduction which shows the most important items of the general N-Body ...

    • Second species periodic solutions for the three body problem 

      Lamas Rodríguez, José (Universitat Politècnica de Catalunya, 2020-07)
      Master thesis
      Open Access
      We are going to explain the construction of second-species periodic solutions for the Restricted Planar Circular 3-Body Problem. These solutions, whose existence had been conjectured by Poincaré, are referred to periodic ...

    • Unstable motions in the three body problem 

      Paradela Díaz, Jaime (Universitat Politècnica de Catalunya, 2023-06-30)
      Doctoral thesis
      Open Access
      (English) The 3 Body Problem (3BP) models the motion of three bodies interacting via Newtonian gravitation. It is called restricted when one body has zero mass and the other two, the primaries, have strictly positive masses. ...