Exploració per tema "Exponentially small phenomena"

Ara es mostren els items 1-8 de 8

    • Breakdown of homoclinic orbits to L3 in the RPC3BP (I). Complex singularities and the inner equation 

      Baldomá Barraca, Inmaculada; Giralt Miron, Mar; Guàrdia Munarriz, Marcel (2022-10-29)
      Article
      Accés obert
      The Restricted 3-Body Problem models the motion of a body of negligible mass under the gravitational influence of two massive bodies, called the primaries. If the primaries perform circular motions and the massless body ...

    • Breakdown of homoclinic orbits to L3 in the RPC3BP (II): an asymptotic formula 

      Baldomá Barraca, Inmaculada; Giralt Miron, Mar; Guardia, Marcel (Elsevier, 2023-10-01)
      Article
      Accés obert
      The Restricted 3-Body Problem models the motion of a body of negligible mass under the gravitational influence of two massive bodies called the primaries. If one assumes that the primaries perform circular motions and that ...

    • Critical velocity in kink-defect interaction models: rigorous results 

      Martínez-Seara Alonso, M. Teresa; Guàrdia Munarriz, Marcel; Gomide, Otávio M.L. (2020-01-01)
      Article
      Accés obert
      In this work we study a model of interaction of kinks of the sine-Gordon equation with a weak defect. We obtain rigorous results concerning the so-called critical velocity derived in [7] by a geometric approach. More ...

    • Exponentially Small Heteroclinic Breakdown in the Generic Hopf-Zero Singularity 

      Baldomá Barraca, Inmaculada; Castejón i Company, Oriol; Martínez-Seara Alonso, M. Teresa (2013)
      Article
      Accés restringit per política de l'editorial
      In this paper we prove the breakdown of a heteroclinic connection in the analytic versal unfoldings of the generic Hopf-zero singularity in an open set of the parameter space. This heteroclinic orbit appears at any order ...

    • Singular phenomena in the length spectrum of analytic convex curves 

      Tamarit Sariol, Anna (Universitat Politècnica de Catalunya, 2015-07-06)
      Tesi
      Accés obert
      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 ...

    • 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 ...

    • Stability of the phase motion in race-track microtrons 

      Kubyshin, Yu A.; Larreal Barreto, Oswaldo; Ramírez Ros, Rafael; Martínez-Seara Alonso, M. Teresa (2017-06-15)
      Article
      Accés obert
      We model the phase oscillations of electrons in race-track microtrons by means of an area preserving map with a fixed point at the origin, which represents the synchronous trajectory of a reference particle in the beam. ...

    • Symbolic dynamics in the restricted elliptic isosceles three body problem 

      Guàrdia Munarriz, Marcel; Paradela Díaz, Jaime; Martínez-Seara Alonso, M. Teresa; Vidal Díaz, Claudio (2021-09-05)
      Article
      Accés restringit per política de l'editorial
      The restricted elliptic isosceles three body problem (REI3BP) models the motion of a massless body under the influence of the Newtonian gravitational force caused by two other bodies called the primaries. The primaries of ...