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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 ... -
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 ... -
Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem
(2016)
Article
Open AccessWe study the dynamics of the restricted planar three-body problem near mean motion resonances, i.e. a resonance involving the Keplerian periods of the two lighter bodies revolving around the most massive one. This problem ... -
Libration transfer design using patched elliptic three-body models and graphics processing units
(2017-01-01)
Article
Open AccessCopyright © 2016 by the American Institute of Aeronautics and Astronautics, Inc. Design of the transfer from lunar orbits to the sun-Earth libration point region by direct searching in the highfidelity ephemeris model is ... -
Ejection-collision orbits in the Restricted three-body problem
(2018-02)
Article
Open AccessIn this paper we analyse the ejection-collision (EC) orbits of the planar restricted three body problem. Being µ¿¿¿(0, 0.5] the mass parameter, and taking the big (small) primary with mass (µ), an EC orbit will be an orbit ... -
Estimation of synaptic conductance in the spiking regime for the McKean neuron model
(2017-01-01)
Article
Open AccessIn this work, we aim at giving a first proof of concept to address the estimation of synaptic conductances when a neuron is spiking, a complex inverse nonlinear problem which is an open challenge in neuroscience. Our ...
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