11 citations · 36 across the 8 of their papers we have counts for
8 papers
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…
A numerical criterion evaluating the robustness of planetary architectures; applications to the Andromedæ system
Ugo Locatelli, Chiara Caracciolo, Marco Sansottera +1
We revisit the problem of the existence of KAM tori in extrasolar planetary systems. Specifically, we consider the Andromedæ system, by modelling it with a three-body pr…
Invariant KAM tori: from theory to applications to exoplanetary systems
Ugo Locatelli, Chiara Caracciolo, Marco Sansottera +1
We consider the classical problem of the construction of invariant tori exploiting suitable Hamiltonian normal forms. This kind of approach can be translated by means of the Lie se…
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…