Exploració per autor "Martín, Pau"
Ara es mostren els items 1-7 de 7
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Exponentially small splitting of separatrices in the perturbed McMillan map
(2011-10)
Article
Accés obertThe McMillan map is a one-parameter family of integrable symplectic maps of the plane, for which the origin is a hyperbolic xed point with a homoclinic loop, with small Lyapunov exponent when the parameter is small. ... -
Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points
(2017-08-01)
Article
Accés obertWe study the Gevrey character of a natural parameterization of one dimensional invariant manifolds associated to a parabolic direction of fixed points of analytic maps, that is, a direction associated with an eigenvalue ... -
Introducció als Sistemes Dinàmics
(Universitat Politècnica de Catalunya, 2018-07)
Apunts
Accés obert -
On the length and area spectrum of analytic convex domains
(2016-01)
Article
Accés obertArea-preserving twist maps have at least two different (p, q)-periodic orbits and every (p, q)-periodic orbit has its (p, q)-periodic action for suitable couples (p, q). We establish an exponentially small upper bound for ... -
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 ... -
Resurgence of inner solutions for perturbations of the McMillan map
(2011-09)
Article
Accés obertAbstract. A sequence of \inner equations" attached to certain perturbations of the McMillan map was considered in [5], their solutions were used in that article to measure an exponentially small separatrix splitting. We ...
