Now showing items 1-5 of 5

    • Dynamics in the charged restricted circular three-body problem 

      Palacián Subiela, Jesús Francisco Upna; Vidal Díaz, Claudio; Vidarte, Jhon; Yanguas Sayas, Patricia Upna (Springer US, 2018)   Artículo / Artikulua  OpenAccess
      The existence and stability of periodic solutions for different types of perturbations associated to the Charged Restricted Circular Three Body Problem (shortly, CHRCTBP) is tackled using reduction and averaging theories ...
    • 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 ...
    • On the nonlinear stability of the triangular points in the circular spatial restricted three-body problem 

      Cárcamo Díaz, Daniela Jacqueline; Palacián Subiela, Jesús Francisco Upna; Vidal Díaz, Claudio; Yanguas Sayas, Patricia Upna (Pleiades Publishing, 2020)   Artículo / Artikulua
      The well-known problem of the nonlinear stability of L4 and L5 in the circular spatial restricted three-body problem is revisited. Some new results in the light of the concept of Lie (formal) stability are presented. In ...
    • Periodic solutions, KAM tori and bifurcations in a cosmology-inspired potential 

      Palacián Subiela, Jesús Francisco Upna; Vidal Díaz, Claudio; Vidarte, Jhon; Yanguas Sayas, Patricia Upna (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 ...
    • Stability and estimates near elliptic equilibrium points in hamiltonian systems and applications 

      Cárcamo Díaz, Daniela Jacqueline (2019)   Tesis doctoral / Doktoretza tesia  OpenAccess
      En esta tesis se estudia la estabilidad no lineal de equilibrios elípticos de sistemas hamiltonianos autónomos con n grados de libertad. Se supone que la parte cuadrática es diagonalizable y que puede haber o no resonancias. ...