Reports de recerca
Recent Submissions
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Breakdown of homoclinic orbits to L3 in the RPC3BP (II). An asymptotic formula
(2021-07-21)
Research report
Open AccessThe 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 ... -
Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies
(2019-06)
Research report
Open AccessWe study the splitting of invariant manifolds of whiskered (hyperbolic) tori with three frequencies in a nearly-integrable Hamiltonian system, whose hyperbolic part is given by a pendulum. We consider a 3-dimensional ... -
An invitation to singular symplectic geometry
(2017)
Research report
Open AccessIn this paper we analyze in detail a collection of motivating examples to consider bm- symplectic forms and folded-type symplectic structures. In particular, we provide models in Celestial Mechanics for every bm-symplectic ... -
Exponentially small splitting of separatrices and transversality associated to whiskered tori with quadratic frequency ratio
(2015)
Research report
Open AccessThe splitting of invariant manifolds of whiskered (hyperbolic) tori with two frequencies in a nearly-integrable Hamiltonian system, whose hyperbolic part is given by a pendulum, is studied. -
Examples of integrable and non-integrable systems on singular symplectic manifolds
(2016-12)
Research report
Open AccessWe present a collection of examples borrowed from celes- tial mechanics and projective dynamics. In these examples symplectic structures with singularities arise naturally from regularization trans- formations, Appell's ...
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