Exploració per tema "Classificació AMS::37 Dynamical systems and ergodic theory::37D Dynamical systems with hyperbolic behavior"

Ara es mostren els items 1-18 de 18

    • A route to chaos in the Boros-Moll map 

      Gardini, Laura; Mañosa Fernández, Víctor; Sushko, Iryna (2018-04-18)
      Report de recerca
      Accés obert
      The Boros-Moll map appears as a subsystem of a Landen transformation associated to certain rational integrals and its dynamics is related to the convergence of them. In the paper, we study the dynamics of a one-parameter ...

    • A Route to chaos in the Boros–Moll map 

      Gardini, Laura; Mañosa Fernández, Víctor; Sushko, Iryna (2019-04)
      Article
      Accés obert
      The Boros–Moll map appears as a subsystem of a Landen transformation associated to certain rational integrals and its dynamics is related to their convergence. In the paper, we study the dynamics of a one-parameter family ...

    • 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)
      Projecte Final de Màster Oficial
      Accés obert
      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 ...

    • Applications to celestial mechanics 

      Lanchares Sanchez, Ernesto (Universitat Politècnica de Catalunya, 2022-07)
      Projecte Final de Màster Oficial
      Accés obert
      Recently an asymptotic formula for the distance of the invariant manifolds of L3 in the RCP3BP when the mass parameter tends to zero was proven. In this study we numerically check the formula using high precision routines ...

    • Bi-asymptotic billiard orbits inside perturbed ellipsoids 

      Bolotin, S.; Delshams Valdés, Amadeu; Fedorov, Yuri; Ramírez Ros, Rafael (2001)
      Article
      Accés obert

    • Closed Geodesics and Billiards on Quadrics related to elliptic KdV solutions 

      Abenda, Simonetta; Fedorov, Yuri (2004)
      Article
      Accés obert
      We consider algebraic geometrical properties of the integrable billiard on a quadric Q with elastic impacts along another quadric confocal to Q. These properties are in sharp contrast with those of the ellipsoidal Birkho® ...

    • CM-points and lattice counting on arithmetic compact Riemann surfaces 

      Alsina Aubach, Montserrat; Chatzakos, Dimitrios (2020-07)
      Article
      Accés obert
      Let $X(D,1) =\Gamma(D,1) \backslash \mathbb{H}$ denote the Shimura curve of level $N=1$ arising from an indefinite quaternion algebra of fixed discriminant $D$. We study the discrete average of the error term in the ...

    • Com les Varietats Invariants formen Espirals i Anells en Galàxies barrades 

      Romero Gómez, Mercè; Sánchez-Martín, Patricia; Masdemont Soler, Josep (2014)
      Article
      Accés obert
      L'espectacularitat de les galàxies barrades consisteix no solament en la presència de la barra, allargada en el centre de la galàxia, sinó també en els braços espirals o anells que es desenvolupen en les parts exteriors. ...

    • Existence of invariant tori in skew-product systems: A computer assisted approach 

      Sandín Vidal, Eric (Universitat Politècnica de Catalunya, 2020-01)
      Projecte Final de Màster Oficial
      Accés obert
      This work is a computer assisted approach to the study of invariant manifolds in skew-product dynamical systems. More specifically, the existence of an invariant tori under a quasi-periodic perturbation of our system. The ...

    • Homoclinic and heteroclinic transfer trajectories between Lyapunov orbits in the Sun-Earth and Earth-Moon systems 

      Canalias Vila, Elisabet; Masdemont Soler, Josep (2004)
      Article
      Accés obert
      In this paper a method for finding homoclinic and heteroclinic connections between Lyapunov orbits using invariant manifolds in a given energy surface of the planar restricted circular three body problem is developed. Moreover, ...

    • Invariant manifolds of parabolic fixed points (I). Existence and dependence on parameters 

      Baldomá Barraca, Inmaculada; Fontich Julia, Ernest; Martín de la Torre, Pablo (2020-04-15)
      Article
      Accés obert
      In this paper we study the existence and regularity of stable manifolds associated to fixed points of parabolic type in the differentiable and analytic cases, using the parametrization method. The parametrization method ...

    • Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows 

      Delshams Valdés, Amadeu; Llave Canosa, Rafael de la; Martínez-Seara Alonso, M. Teresa (2003)
      Article
      Accés obert
      We show that certain mechanical systems, including a geodesic °ow in any dimension plus a quasi-periodic perturbation by a potential, have orbits of unbounded energy. The assumptions we make in the case of geodesic °ows ...

    • Splitting of separatrices for rapid degenerate perturbations of the classical pendulum 

      Baldomá Barraca, Inmaculada; Martínez-Seara Alonso, M. Teresa; Moreno González, Román (2023-02-16)
      Report de recerca
      Accés obert
      In this work we study the splitting distance of a rapidly perturbed pendulum H(x, y, t) = 1 2 y 2 + (cos(x) - 1) + µ(cos(x) - 1)g t e with g(t ) = P |k|>1 g [k] e ikt a 2p-periodic function and µ, e 1. Systems of this ...

    • The parameterization method for invariant manifolds I: manifolds associated to non-resonant subspaces 

      Cabré Vilagut, Xavier; Fontich i Julià, Ernest; Llave Canosa, Rafael de la (2002)
      Article
      Accés obert
      We introduce a method to prove existence of invariant manifolds and, at the same time to find simple polynomial maps which are conjugated to the dynamics on them. As a first application, we consider the dynamical system ...

    • The parameterization method for invariant manifolds II: regularity with respect to parameters 

      Cabré Vilagut, Xavier; Fontich i Julià, Ernest; Llave Canosa, Rafael de la (2002)
      Article
      Accés obert
      We study the regularity with respect to parameters of the invariant manifolds associated to non-resonant subspaces obtained in the previous article [CFdlL00].

    • The parameterization method for invariant manifolds III: overview and applications 

      Cabré Vilagut, Xavier; Fontich i Julià, Ernest; Llave Canosa, Rafael de la (2003)
      Article
      Accés obert
      We describe a method to establish existence and regularity of invariant manifolds and, at the same time to find simple maps which are conjugated to the dynamics on them. The method establishes several invariant manifold ...

    • Transport and stochastic behaviour in the three body problem 

      Gil Rams, Dídac (Universitat Politècnica de Catalunya, 2021-07)
      Projecte Final de Màster Oficial
      Accés obert
      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 ...

    • Varietats estables dels cicles límit amb aplicació a l'estudi dels avançaments de fase 

      Donadello, Gaia Aurora (Universitat Politècnica de Catalunya, 2018-07)
      Treball Final de Grau
      Accés obert
      L'objectiu principal d'aquest treball és iniciar-se en l'estudi de les varietats estables dels cicles límit de sistemes dinàmics i aplicar-ho al control de fase en oscil·ladors, d'interès especial en neurociència. Alguns ...