11 citations · 36 across the 8 of their papers we have counts for
4 papers · 1 filter
Improved stability estimates at elliptic equilibria of Hamiltonian systems
Massimiliano Guzzo, Chiara Caracciolo, Gabriella Pinzari
This paper deals with an improvement of the "a-priori stability bounds" on the variation of the action variables and on the stability time obtained from a given Birkhoff normal for…
A parametrization algorithm to compute lower dimensional elliptic tori in Hamiltonian systems
Chiara Caracciolo, Jordi-Lluís Figueras, Alex Haro
We present an algorithm for the construction of lower dimensional elliptic tori in parametric Hamiltonian systems by means of the parametrization method with the tangent and normal…
Normal form for lower dimensional elliptic tori in Hamiltonian systems
Chiara Caracciolo
We give a proof of the convergence of an algorithm for the construction of lower dimensional elliptic tori in nearly integrable Hamiltonian systems. The existence of such invariant…
Librational KAM tori in the secular dynamics of the Andromedæ planetary system
Chiara Caracciolo, Ugo Locatelli, Marco Sansottera +1
We study the planetary system of ~Andromedæ, considering the three-body problem formed by the central star and the two largest planets, ~And~\emph{c} and $\upsi…