Browsing by Subject "Periodic solutions"

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Dynamics of axially symmetric perturbed Hamiltonians in 1:1:1 resonance

Carrasco, Dante; Palacián Subiela, Jesús Francisco ; Vidal Díaz, Claudio; Vidarte, Jhon; Yanguas Sayas, Patricia (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

Lanchares, Víctor; Pascual, Ana Isabel; Iñarrea, Manuel; Salas, José Pablo; Palacián Subiela, Jesús Francisco ; Yanguas Sayas, Patricia (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 ...