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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 ...
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 ...
Effects of a soft-core coulomb potential on the dynamics of a hydrogen atom near a metal surface
(Elsevier, 2019)
Artículo / Artikulua,
The goal of this paper is to investigate the effects that the replacement of the Coulomb potential by a soft-core Coulomb potential produces in the classical dynamics of a perturbed Rydberg hydrogen atom. As example, we ...
Reeb’s theorem and periodic orbits for a rotating Hénon–Heiles potential
(Springer, 2019)
Artículo / Artikulua,
We apply Reeb’s theorem to prove the existence of periodic orbits in the rotating Hénon–
Heiles system. To this end, a sort of detuned normal form is calculated that yields a reduced
system with at most four non degenerate ...
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 ...