Listar INAMAT2 - Institute for Advanced Materials and Mathematics por autor "Vidal Díaz, Claudio"
Mostrando ítems 1-5 de 5
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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 ...
