11 citations · 36 across the 8 of their papers we have counts for
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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…
Computer-assisted estimates for Birkhoff normal forms
Chiara Caracciolo, Ugo Locatelli
Birkhoff normal forms are commonly used in order to ensure the so called "effective stability" in the neighborhood of elliptic equilibrium points for Hamiltonian systems. From a th…
Elliptic tori in FPU non-linear chains with a small number of nodes
Chiara Caracciolo, Ugo Locatelli
We revisit an algorithm constructing elliptic tori, that was originally designed for applications to planetary hamiltonian systems. The scheme is adapted to properly work with mode…