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.
Col·leccions
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Articles de revista [58]
Enviaments recents
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Invariant manifolds of a non-autonomous quasi-bicircular problem computed via the parameterization method
(2017-08-01)
Article
Accés obertThe 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
Accés obertThis 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
Accés restringit per política de l'editorialWe 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
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 ... -
Growth of sobolev norms for the cubic defocusing NLS with a convolution potential
(2014-03-16)
Article
Accés obertFix 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
Accés obertEstablishing 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
Accés obertIn 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)
Text en actes de congrés
Accés restringit per política de l'editorialSwarms 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)
Text en actes de congrés
Accés obert -
Systematic study of the connections between the collinear libration points of a coherent Sun-Earth-Moon restricted four-body model
(2017)
Text en actes de congrés
Accés restringit per política de l'editorialA 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
Accés restringit per política de l'editorial© 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)
Comunicació de congrés
Accés obertIn 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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