3 papers
math.DS2023
Non Quasi-Periodic Normal Form Theory
Gabriella Pinzari
We review a recent generalization of Normal Form Theory to systems (Hamiltonian ones or general ODEs) where the perturbing term is not periodic in one coordinate variable. The main…
math.DS2014
Canonical coordinates for the planetary problem
Gabriella Pinzari
In 1963, V. I. Arnold stated his celebrated Thorem on the Stability of Planetary Motions. The general proof of his wonderful statement (that he provided completely only for the par…
math.DS2014
Global Kolmogorov tori in the planetary N-body problem. Announcement of result
Gabriella Pinzari
We improve a result in [L. Chierchia and G. Pinzari, Invent. Math. 2011] by proving the existence of a positive measure set of --dimensional quasi--periodic motions in the…