• Asymptotic size of Herman Rings using quasiconformal surgery 

    Granell i Yuste, Francesc (Universitat Politècnica de Catalunya, 2016-07)
    Treball Final de Grau
    Accés obert
    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)
    Projecte Final de Màster Oficial
    Accés obert
    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)
    Projecte Final de Màster Oficial
    Accés obert
    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 ...
  • Instabilities in Hamiltonian systems 

    Granell i Yuste, Francesc (Universitat Politècnica de Catalunya, 2017-07)
    Projecte Final de Màster Oficial
    Accés obert
    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 ...