TY - JOUR 
A1 - Vera López, Juan Antonio
T1 - Soluciones de equilibrio en un problema generalizado del de Lagrange-Poisson: condiciones necesarias y suficientes de estabilidad
Y1 - 2003
SN - 1132-6360
UR - http://hdl.handle.net/10317/453
AB - In this paper, we consider the problem of motion of a symmetrical gyrostat with
a fixed point in a Newtonian force field, where the potential function adopts the
form U = U(K3), the gyrostatic momentum and the position vector of the center
of mass are on the axis of symmetry. First, we obtain the equilibrium positions
of this problem; then, by means of the Energy-Casimir method, we give sufficient
conditions of stability for some of these equilibria and, by spectral methods, we
obtain necessary conditions of stability.
The obtained results generalize the previous
papers [7], [8],[9], [1] and [2].
KW - Matemática Aplicada
KW - Lagrange-Poisson
KW - Giróstato simétrico
LA - spa
PB - Servicio de Publicaciones de la Universidad de Zaragoza
ER -