Now showing items 1-10 of 10

    • A study on the generation of chaos due to the presence of smale horseshoes in dynamical systems with a homoclinic orbit 

      Deulofeu Matas, Pol (Universitat Politècnica de Catalunya, 2020-07)
      Master thesis
      Open Access
      One of the fundamental problems in dynamical systems is the detection and characterisation of chaotic behaviours. In this work we will focus on chaos induced by what is called the Smale horseshoe. Smale horseshoes frequently ...
    • 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 ...
    • Computation of periodic orbits and their invariant manifolds in the RTBP 

      Martínez García, Miguel (Universitat Politècnica de Catalunya, 2014-07)
      Master thesis
      Open Access
      This project is a study of the RTBP, in particular of a modification of this problem devised to study orbits of the Moon. Some parts of the project are done analytically while others numerically. The analytical part focuses ...
    • Computation of the invariant manifolds of infinity in the restricted circular planar three body problem with the parametrization method 

      Font i Reverter, Jordi (Universitat Politècnica de Catalunya, 2017-05)
      Master thesis
      Open Access
      This work analyses the parabolic stable manifolds of the periodic orbits at infinity for the Restricted Planar Circular Three Body Problem. Using the parametrization method we prove the existence of such manifold and we ...
    • La constant de Feigenbaun 

      Pereira Hernández, Miguel (Universitat Politècnica de Catalunya, 2018-07)
      Bachelor thesis
      Open Access
      Aquest treball comença amb una petita introducció a la teoria de bifurcacions amb un exemple d'aplicació unimodal. Després, es presenten els resultats teòrics que permeten entendre com es produeix la cascada de doblament ...
    • On the length spectrum of analytic convex billiard tables 

      Tamarit Sariol, Anna (Universitat Politècnica de Catalunya, 2011)
      Master thesis
      Open Access
      Billiard maps are a type of area-preserving twist maps and, thus, they inherit a vast num-ber of properties from them, such as the Lagrangian formulation, the study of rotational invariant curves, the types of periodic ...
    • On the number of periodic orbits in billiards with flat points 

      Chaikh Vidal, Aida (Universitat Politècnica de Catalunya, 2022-01)
      Master thesis
      Open Access
      A billiard is a map that describes the motion of a ball without mass in a closed region on the plane such that the collisions with the boundary are elastic. The region where the ball moves is the billiard table. In this ...
    • 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 ...
    • Singular phenomena in the length spectrum of analytic convex curves 

      Tamarit Sariol, Anna (Universitat Politècnica de Catalunya, 2015-07-06)
      Doctoral thesis
      Open Access
      Consider the billiard map defined inside an analytic closed strictly convex curve Q. Given q>2 and 0<p<q relatively prime integers, there exist at least two (p,q)-periodic trajectories inside Q. The main goal of this thesis ...
    • Transport and stochastic behaviour in the three body problem 

      Gil Rams, Dídac (Universitat Politècnica de Catalunya, 2021-07)
      Master thesis
      Open Access
      In this Master s thesis we study chaos and diffusion in two different problems of celestial mechanics. More concretely, the Sitnikov problem and the restricted planar elliptic three-body problem. The results we present ...