Exploració per tema "Exponentially small phenomena"
Ara es mostren els items 1-8 de 8
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Breakdown of homoclinic orbits to L3 in the RPC3BP (I). Complex singularities and the inner equation
(2022-10-29)
Article
Accés obertThe 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
(Elsevier, 2023-10-01)
Article
Accés obertThe 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
(2020-01-01)
Article
Accés obertIn 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
(2013)
Article
Accés restringit per política de l'editorialIn 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
(Universitat Politècnica de Catalunya, 2015-07-06)
Tesi
Accés obertConsider 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
(2023-02-16)
Report de recerca
Accés obertIn 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
(2017-06-15)
Article
Accés obertWe 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
(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 ...