57 citations · 203 across the 13 of their papers we have counts for
4 papers · 1 filter
An extensive adiabatic invariant for the Klein-Gordon model in the thermodynamic limit
Antonio Giorgilli, Simone Paleari, Tiziano Penati
We construct an extensive adiabatic invariant for a Klein-Gordon chain in the thermodynamic limit. In particular, given a fixed and sufficiently small value of the coupling constan…
Methods of algebraic manipulation in perturbation theory
Antonio Giorgilli, Marco Sansottera
We give a short introduction to the methods of representing polynomial and trigonometric series that are often used in Celestial Mechanics. A few applications are also illustrated.
Kolmogorov and Nekhoroshev theory for the problem of three bodies
Antonio Giorgilli, Ugo Locatelli, Marco Sansottera
We investigate the long time stability in Nekhoroshev's sense for the Sun-Jupiter-Saturn problem in the framework of the problem of three bodies. Using computer algebra in order to…
On a theorem of Lyapounov
Antonio Giorgilli
It is shown that a Hamiltonian system in the neighbourhood of an equilibrium may be given a special normal form in case the eigenvalues of the linearized system satisfy non--resona…