Now showing items 1-13 of 13

    • Càlcul de l'escissió de separatrius usant tècniques de matching complex i ressurgència aplicades a l'equació de Hamilton-Jacobi 

      Olivé Farré, Carme (Universitat Politècnica de Catalunya, 2006-07-10)
      Doctoral thesis
      Open Access
      L'objecte del nostre estudi és el sistema del pèndol simple amb una pertorbació ràpidament oscil·lant de període petit respecte el temps, però el paràmetre de pertorbació no serà necessàriament petit. El període de la ...
    • 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) ...
    • 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 ...
    • 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 ...
    • Global instability in the elliptic restricted three body problem 

      Rosa Ibarra, Abraham de la (Universitat Politècnica de Catalunya, 2014-06-16)
      Doctoral thesis
      Open Access
      The goal of this thesis is to show global instability or Arnold's diffusion in the elliptic restricted three body problem (ERTBP) by proving the existence of pseudo-trajectories diffusing along the phase space for certain ...
    • 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 ...
    • Local and global phenomena in piecewise-defined systems: from big bang bifurcations to splitting of heteroclinic manifolds 

      Granados Corsellas, Albert (Universitat Politècnica de Catalunya, 2012-09-17)
      Doctoral thesis
      Open Access
      In the first part, we formally study the phenomenon of the so-called big bang bifurcations, both for one and two-dimensional piecewise-smooth maps with a single switching boundary. These are a special type of organizing ...
    • Non-smooth dynamics in integrate-and-fire neuron models with dynamic threshold 

      Morales Morales, José Eduardo (Universitat Politècnica de Catalunya, 2013-10)
      Master thesis
      Open Access
      The aim of this work is to introduce and study simple neuron models with a dynamic threshold: The integrate and fire with dynamic threshold and a resonate and fire with dynamic threshold. The last model is a new model ...
    • On the role of oscillatory dynamics in neural communication 

      Pérez Cervera, Alberto (Universitat Politècnica de Catalunya, 2019-04-04)
      Doctoral thesis
      Open Access
      In this Thesis we consider problems concerning brain oscillations generated across the interaction between excitatory (E) and inhibitory (I) cells. We explore how two neuronal groups with underlying oscillatory activity ...
    • Periodic motions in coupled blocks with periodic forcing 

      Martín Navarrete, Rocío (Universitat Politècnica de Catalunya, 2015-02)
      Master thesis
      Open Access
      The purpose of this report is to study the dynamics of rigid blocks subjected to an earthquake ground motion. Such study could predict whether a rigid body overturns or remains standing. In particular, three cases are ...
    • Periodic orbits in non-smooth systems with impact 

      Hashemi, Seyedpedram (Universitat Politècnica de Catalunya, 2014-10)
      Master thesis
      Open Access
      In this project we will study time-dependent non smooth systems with impatcs. We will focus in two models: the rocking block model and an oscillator with impacts. We will show how to compute, analitycally and numerically, ...
    • 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 ...
    • Study of invariant manifolds in two different problems : the Hopf-zero singularity and neural synchrony 

      Castejón i Compnay, Oriol (Universitat Politècnica de Catalunya, 2015-07-16)
      Doctoral thesis
      Open Access
      The main object of study of this thesis are invariant manifolds in the field of dynamical systems. We deal with two different and independent topics, namely, the study of exponentially small splitting of invariant manifolds ...