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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 ...
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 ...