• Analysis of periodic solutions of the system Janus - Epimetheus 

      Huesca Molina, Luis (Universitat Politècnica de Catalunya, 2016-07)
      Treball Final de Grau
      Accés obert
      Desenvolupament d'un model 2-dimensional per el sistema coorbital de Janus i Epimetheus al voltant de Saturn, afegint l'aplanament del planeta. Demostracio d'un teorema de simetries sobre les equacions de moviment i analisi ...
    • 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) ...
    • Periodic solutions to PDEs with fractional diffusion 

      Felipe Navarro, Juan Carlos (Universitat Politècnica de Catalunya, 2016-01)
      Treball Final de Grau
      Accés obert
      The aim of this Bachelor's Thesis is the study of periodic solutions to nonlinear equations involving the fractional Laplace operator. Our starting point is the Benjamin-Ono equation in water waves, a completely integrable ...
    • Periodic solutions with nonconstant sign in Abel equations of the second kind 

      Olm Miras, Josep Maria; Ros Oton, Xavier; Martínez-Seara Alonso, M. Teresa (2011-09)
      Article
      Accés obert
      The study of periodic solutions with constant sign in the Abel equation of the second kind can be made through the equation of the first kind. This is because the situation is equivalent under the transformation xmaps ...
    • Second species periodic solutions for the three body problem 

      Lamas Rodríguez, José (Universitat Politècnica de Catalunya, 2020-07)
      Projecte Final de Màster Oficial
      Accés obert
      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 ...
    • Singular solutions for a class of traveling wave equations arising in hydrodynamics 

      Geyer, Anna; Mañosa Fernández, Víctor (2016-10)
      Article
      Accés obert
      We give an exhaustive characterization of singular weak solutions for some singular ordinary differential equations. Our motivation stems from the fact that in the context of hydrodynamics several prominent equations are ...
    • Study of periodic orbits in periodic perturbations of planar reversible Filippov systems having a twofold cycle 

      Martínez-Seara Alonso, M. Teresa; Novaes, Douglas D.; Teixeira, Marco Antonio; Zeli, Iris O. (2020-01-01)
      Article
      Accés obert
      We study the existence of periodic solutions in a class of planar Filippov systems obtained from non-autonomous periodic perturbations of reversible piecewise smooth differential systems. It is assumed that the unperturbed ...
    • Topics on periodic solutions to integro-differential equations 

      Nualart Batalla, Marc (Universitat Politècnica de Catalunya, 2020-07)
      Projecte Final de Màster Oficial
      Accés obert
      This Master's Degree Thesis investigates periodic solutions to nonlinear equations involving integro-dierential operators. We show the existence and we describe these solutions for generalized Benjamin-Ono type nonlinearities, ...