Listar por autor "Vidal Díaz, Claudio"
Mostrando ítems 1-7 de 7
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Dynamics in the charged restricted circular three-body problem
Palacián Subiela, Jesús Francisco
; Vidal Díaz, Claudio; Vidarte, Jhon; Yanguas Sayas, Patricia (Springer US, 2018)
Artículo / Artikulua 
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 ; 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 ... -
Nonlinear stability in the spatial attitude motion of a satellite in a circular orbit
Cárcamo Díaz, Daniela Jacqueline; Palacián Subiela, Jesús Francisco ; Vidal Díaz, Claudio; Yanguas Sayas, Patricia (Society for Industrial and Applied Mathematics Publications, 2021)
Artículo / Artikulua
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 ; Vidal Díaz, Claudio; Yanguas Sayas, Patricia (American Institute of Mathematical Sciences (AIMS), 2021)
Artículo / Artikulua
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 ; Vidal Díaz, Claudio; Yanguas Sayas, Patricia (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 ; Vidal Díaz, Claudio; Vidarte, Jhon; Yanguas Sayas, Patricia (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
(2019) Tesis doctoral / Doktoretza tesia
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. ...
