Now showing items 1-5 of 5

    • 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 ...
    • 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 ...

      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).
      Logo MinisterioLogo Fecyt