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Nonlinear stability of elliptic equilibria in Hamiltonian systems with exponential time estimates
(American Institute of Mathematical Sciences (AIMS), 2021)
Artículo / Artikulua,
In the framework of nonlinear stability of elliptic equilibria in Hamiltonian systems with n degrees of freedom we provide a criterion to obtain a type of formal stability, called Lie stability. Our result generalises ...
On co-orbital quasi-periodic motion in the three-body problem
(Society for Industrial and Applied Mathematics (SIAM), 2019)
Artículo / Artikulua,
Within the framework of the planar three-body problem we establish the existence of quasi-periodic motions and KAM 4-tori related to the co-orbital motion of two small moons about a large planet where the moons move in ...
Periodic solutions, KAM tori and bifurcations in a cosmology-inspired potential
(IOP Publishing, 2019)
Artículo / Artikulua,
A family of perturbed Hamiltonians H = 1/2 (x^2 + X^2) − 1/2 (y^2 + Y^2)+1/2
(z^2 + Z^2) + 2[ (x^4 + y^4 + z^4) + (x^2 y^2 + x^2 z^2 + y^2 z^2)] in 1: −1:1 resonance
depending on two real parameters is considered. We ...
The Southwestern Europe Meteor Network: recent advances and analysis of bright fireballs recorded along April 2021
(MeteorNews, 2021)
Artículo / Artikulua,
We present here some recent improvements performed in the framework of the Southwestern Europe Meteor Network (SWEMN) and the SMART project. In particular, we focus on the development of the first digital database dedicated ...
Bright fireballs recorded along February 2021 in the framework of the Southwestern Europe Meteor Network
(MeteorNews, 2021)
Artículo / Artikulua,
This work focuses on the analysis of some of the brightest bolides recorded along February 2021 by the meteorobserving stations operating in the framework of the Southwestern Europe Meteor Network (SWEMN). Some of them ...
Bright fireballs recorded along March 2021 in the framework of the Southwestern Europe Meteor Network
(MeteorNews, 2021)
Artículo / Artikulua,
We present here some recent improvements performed in the framework of the Southwestern Europe Meteor Network (SWEMN) and the SMART project. In particular, we focus on the development of the first digital database dedicated ...
Normalization through invariants in n-dimensional Kepler problems
(Pleiades Publishing, 2018)
Artículo / Artikulua,
We present a procedure for the normalization of perturbed Keplerian problems in n dimensions based on Moser regularization of the Kepler problem and the invariants associated to the reduction process. The approach allows ...
Oscillatory motions in restricted N-body problems
(Elsevier, 2018)
Artículo / Artikulua,
We consider the planar restricted N-body problem where the N−1 primaries are assumed to be in a central configuration whereas the infinitesimal particle escapes to infinity in a parabolic orbit. We prove the existence of ...
Dynamics of axially symmetric perturbed Hamiltonians in 1:1:1 resonance
(Springer, 2018)
Artículo / Artikulua,
We study the dynamics of a family of perturbed three-degree-of-freedom Hamiltonian systems which are in 1:1:1 resonance. The perturbation consists of axially symmetric cubic and quartic arbitrary polynomials. Our analysis ...
Corrigendum to “Oscillatory motions in restricted N-body problems” [J. Differential Equations 265 (2018) 779–803]
(Elsevier, 2019)
Artículo / Artikulua,
At the beginning of paper [1] there is an error that spreads along the rest of the work and the conclusions are not correct in their present form. Precisely, in Section 2, page 783, there is a contradiction related to the ...