Now showing items 1-2 of 2

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

      Carrasco, Dante; Palacián Subiela, Jesús Francisco Upna; Vidal Díaz, Claudio; Vidarte, Jhon; Yanguas Sayas, Patricia Upna (Springer, 2018)   Artículo / Artikulua  OpenAccess
      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; Iñarreta, Manuel; Salas, José Pablo; Palacián Subiela, Jesús Francisco Upna; Yanguas Sayas, Patricia Upna (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 ...