Exploració per autor "Guàrdia Munarriz, Marcel"
Ara es mostren els items 10-26 de 26
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Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation
(2011-07)
Report de recerca
Accés obertIn this paper we study the splitting of separatrices phenomenon which arises when one considers a Hamiltonian System of one degree of freedom with a fast periodic or quasiperiodic and meromorphic in the state variables ... -
Exponentially small splitting for the pendulum: a classical problem revisited
(2010)
Article
Accés restringit per política de l'editorialIn this paper, we study the classical problem of the exponentially small splitting of separatrices of the rapidly forced pendulum. Firstly, we give an asymptotic formula for the distance between the perturbed invariant ... -
Exponentially small splitting of separatrices beyond Melnikov analysis: rigorous results
(2011)
Report de recerca
Accés obertIn this paper we study the problem of exponentially small splitting of separatrices of one degree of freedom classical Hamiltonian systems with a non-autonomous perturbation which is fast and periodic in time. We provide ... -
Generic bifurcations of low codimension of planar Filippov Systems
(2011-02)
Article
Accés restringit per política de l'editorialIn this article some qualitative and geometric aspects of non-smooth dynamical systems theory are discussed. The main aim of this article is to develop a systematic method for studying local(and global) bifurcations in ... -
Generic bifurcations of low codimension of planar Filippov Systems
(2009-10)
Report de recerca
Accés obertIn this article some qualitative and geometric aspects of non-smooth dynamical systems theory are discussed. The main aim of this article is to develop a systematic method for studying local (and global) bifurcations ... -
Growth of Sobolev norms for the analytic NLS on T-2
(2016-10-01)
Article
Accés obertWe consider the completely resonant non-linear Schrödinger equation on the two dimensional torus with any analytic gauge invariant nonlinearity. Fix s>1. We show the existence of solutions of this equation which achieve ... -
Growth of sobolev norms for the cubic defocusing NLS with a convolution potential
(2014-03-16)
Article
Accés obertFix s > 1. Colliander et al. proved in (Invent Math 181:39–113, 2010 )the existence of solutions of the cubic defocusing nonlinear Schrödinger equation in the two torus whose s -Sobolev norm undergoes arbitrarily large ... -
Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation
(2015)
Article
Accés obertWe consider the cubic defocusing nonlinear Schrödinger equation in the two dimensional torus. Fix s>1. Recently Colliander, Keel, Staffilani, Tao and Takaoka proved the existence of solutions with s -Sobolev norm growing ... -
Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem
(2016)
Article
Accés obertWe study the dynamics of the restricted planar three-body problem near mean motion resonances, i.e. a resonance involving the Keplerian periods of the two lighter bodies revolving around the most massive one. This problem ... -
Oscillatory motions and parabolic manifolds at infinity in the planar circular restricted three body problem
(Elsevier, 2022-05-25)
Article
Accés obertConsider the Restricted Planar Circular 3 Body Problem. If the trajectory of the body of zero mass is defined for all time, it can have the following four types of asymptotic motion when time tends to infinity forward or ... -
Oscillatory motions for the restricted planar circular three body problem
(2016-02-01)
Article
Accés obert© 2015, Springer-Verlag Berlin Heidelberg. The restricted three body problem models the motion of a massless body under the influence of the Newtonian gravitational force caused by two other bodies called the primaries. ... -
Oscillatory orbits in the restricted elliptic planar three body problem
(Southwest Missouri State University, 2017-01-01)
Article
Accés obertThe restricted planar elliptic three body problem models the motion of a massless body under the Newtonian gravitational force of two other bodies, the primaries, which evolve in Keplerian ellipses. A trajectory is called ... -
Secular instability in the three-body problem
(2016-02-03)
Article
Accés obert© 2016 European Union Consider the three-body problem, in the regime where one body revolves far away around the other two, in space, the masses of the bodies being arbitrary but fixed; in this regime, there are no resonances ... -
SISTEMES HAMILTONIANS | FINAL
(Universitat Politècnica de Catalunya, 2023-05-30)
Examen
Accés restringit a la comunitat UPC -
Splitting of separatrices in the resonances of nearly integrable Hamiltonian Systems of one and a half degrees of freedom
(2013)
Article
Accés obertIn this paper we consider general nearly integrable analytic Hamiltonian systems of one and a half degrees of freedom which are a trigonometric polynomial in the angular state variable. In the resonances of these systems ... -
Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation
(2022-03-03)
Article
Accés obertWe consider the defocusing cubic nonlinear Schrödinger equation (NLS) on the two-dimensional torus. The equation admits a special family of elliptic invariant quasiperiodic tori called finite-gap solutions. These are ... -
Symbolic dynamics in the restricted elliptic isosceles three body problem
(2021-09-05)
Article
Accés restringit per política de l'editorialThe 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 ...
