Now showing items 1-7 of 7

    • Dynamics in the charged restricted circular three-body problem 

      Palacián Subiela, Jesús Francisco Upna Orcid; Vidal Díaz, Claudio; Vidarte, Jhon; Yanguas Sayas, Patricia Upna Orcid (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 Orcid; Vidal Díaz, Claudio; Vidarte, Jhon; Yanguas Sayas, Patricia Upna Orcid (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 ...
    • Nonlinear stability in the spatial attitude motion of a satellite in a circular orbit 

      Cárcamo Díaz, Daniela Jacqueline; Palacián Subiela, Jesús Francisco Upna Orcid; Vidal Díaz, Claudio; Yanguas Sayas, Patricia Upna Orcid (Society for Industrial and Applied Mathematics Publications, 2021)   Artículo / Artikulua  OpenAccess
      The paper considers the attitude nonlinear stability analysis of the spatial satellite problem and takes it one step further. A study of the Lie (formal) stability is presented and long-time estimates related to the Lie ...
    • Nonlinear stability of elliptic equilibria in Hamiltonian systems with exponential time estimates 

      Cárcamo Díaz, Daniela Jacqueline; Palacián Subiela, Jesús Francisco Upna Orcid; Vidal Díaz, Claudio; Yanguas Sayas, Patricia Upna Orcid (American Institute of Mathematical Sciences (AIMS), 2021)   Artículo / Artikulua  OpenAccess
      In the framework of nonlinear stability of elliptic equilibria in Hamiltonian systems with n degrees of freedom we provide a criterion to obtain a type of formal stability, called Lie stability. Our result generalises ...
    • 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 Orcid; Vidal Díaz, Claudio; Yanguas Sayas, Patricia Upna Orcid (Pleiades Publishing, 2020)   Artículo / Artikulua  OpenAccess
      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 Orcid; Vidal Díaz, Claudio; Vidarte, Jhon; Yanguas Sayas, Patricia Upna Orcid (IOP Publishing, 2019)   Artículo / Artikulua  OpenAccess
      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. ...

      El Repositorio ha recibido la ayuda de la Fundación Española para la Ciencia y la Tecnología para la realización de actividades en el ámbito del fomento de la investigación científica de excelencia, en la Línea 2. Repositorios institucionales (convocatoria 2020-2021).
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