SD - Sistemes Dinàmics
La seva activitat de recerca està dirigida al desenvolupament de mètodes analítics i numèrics per sistemes dinàmics, gaudint de lideratge científic en diversos temes, com Integrabilitat, Objectes invariants, Teoria K.A.M., Camps vectorials plans i aplicacions a neurociència, Mètode de Poincaré-Melnikov, Escissió exponencialment petita de separatrius, Difusió, Mecànica Celest i Astrodinàmica.
La qualitat d'aquesta activitat es reflecteix tant en la qualitat i quantitat de publicacions, algunes d'elles en col.laboració amb grups internacionals de primera línia, com en la gestió científica desenvolupada, plasmada en l'organització de múltiples events (congressos i jornades , programes de recerca, xarxes temàtiques, etc.), la participació en diversos comitès editorials de revistes de prestigi reconegut, així com en una àmplia formació doctoral.
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Articles de revista [58]
Recent Submissions
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Invariant manifolds of a non-autonomous quasi-bicircular problem computed via the parameterization method
(2017-08-01)
Article
Open AccessThe parameterization method (pm) has been used to compute high-order parameterizations of invariant manifolds of vector fields at fixed points. This paper extends such approach to invariant manifolds of periodically-perturbed ... -
Study of the transfer between libration point orbits and lunar orbits in Earth–Moon system
(2017-02-23)
Article
Open AccessThis paper is devoted to the study of the transfer problem from a libration point orbit of the Earth–Moon system to an orbit around the Moon. The transfer procedure analysed has two legs: the first one is an orbit of the ... -
Differential galois theory and non-integrability of planar polynomial vector fields
(2018-02-26)
Article
Restricted access - publisher's policyWe study a necessary condition for the integrability of the polynomials vector fields in the plane by means of the differential Galois Theory. More concretely, by means of the variational equations around a particular ... -
Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation
(2015)
Article
Open AccessWe 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 ... -
Growth of sobolev norms for the cubic defocusing NLS with a convolution potential
(2014-03-16)
Article
Open AccessFix 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 ... -
Coexistence stability in a four-member hypercycle with error tail through center manifold analysis
(2017-09-09)
Article
Open AccessEstablishing the conditions allowing for the stable coexistence in hypercycles has been a subject of intensive research in the past decades. Deterministic, time-continuous models have indicated that, under appropriate ... -
Splitting of separatrices in the resonances of nearly integrable Hamiltonian Systems of one and a half degrees of freedom
(2013)
Article
Open AccessIn 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 ... -
A stroboscopic control for the confinement of swarms in a spherical domain around the Earth
(2017)
Conference report
Restricted access - publisher's policySwarms of spacecraft are an idea that has been growing in interest in the last few years. This work focuses on the strategies and costs for the maintenance of a swarm of a large number of spacecraft in a close neighborhood ... -
Systematic study of the dynamics about and between the libration points of the Sun-Earth-Moon System
(2017)
Conference report
Open Access -
Systematic study of the connections between the collinear libration points of a coherent Sun-Earth-Moon restricted four-body model
(2017)
Conference report
Restricted access - publisher's policyA new approach is proposed for the systematic detection and refinement of natural connections between the libration points eml1,2 of the Earth-Moon system and sel1,2 of the Sun-Earth system. It makes use of the Quasi-Bicircular ... -
Shadowing of non-transversal heteroclinic chains
(2017-12-01)
Article
Open Access© 2017 Elsevier Inc. We present a new result about the shadowing of non-transversal chain of heteroclinic connections based on the idea of dropping dimensions. We illustrate this new mechanism with several examples. As an ... -
Formation flying in space borne artificial magnetic dipole field
(2017)
Conference lecture
Open AccessIn this paper, we consider a new dynamical scenario in which a constantly charged spacecraft (follower) moves near a leader spacecraft, which follows a circular Keplerian orbit around the Earth and generates a rotating ...
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