Exploració per autor "Kaloshin, Vadim"
Ara es mostren els items 1-5 de 5
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A Second Order Expansion of the Separatrix Map for Trigonometric Perturbations of a Priori Unstable Systems
Guàrdia Munarriz, Marcel; Kaloshin, Vadim; Zhang, Jianlu (2016-11-01)
Article
Accés obertIn this paper we study a so-called separatrix map introduced by Zaslavskii–Filonenko (Sov Phys JETP 27:851–857, 1968) and studied by Treschev (Physica D 116(1–2):21–43, 1998; J Nonlinear Sci 12(1):27–58, 2002), Piftankin ... -
Asymptotic density of collision orbits in the restricted circular planar 3 body problem
Guàrdia Munarriz, Marcel; Kaloshin, Vadim; Zhang, Jianlu (2019-03-12)
Article
Accés obertFor the Restricted Circular Planar 3 Body Problem, we show that there exists an open set U in phase space of fixed measure, where the set of initial points which lead to collision is O(µ120) dense as µ¿0 . -
Global instability in the restricted planar elliptic three body problem
Delshams Valdés, Amadeu; Kaloshin, Vadim; Rosa Ibarra, Abraham de la (2018-01-01)
Article
Accés obertThe restricted planar elliptic three body problem (RPETBP) describes the motion of a massless particle (a comet or an asteroid) under the gravitational field of two massive bodies (the primaries, say the Sun and Jupiter) ... -
Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation
Guàrdia Munarriz, Marcel; Kaloshin, Vadim (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
Guàrdia Munarriz, Marcel; Kaloshin, Vadim; Fejoz, J.; Roldán González, Pablo (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 ...