11 citations · 19 across the 3 of their papers we have counts for
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math-ph2022
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…
math-ph2021★ 11 cited
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…
math-ph2021★ 8 cited
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…