57 citations · 302 across the 21 of their papers we have counts for
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math-ph2014★ 5 cited
On the convergence of an algorithm constructing the normal form for lower dimensional elliptic tori in planetary systems
Antonio Giorgilli, Ugo Locatelli, Marco Sansottera
We give a constructive proof of the existence of lower dimensional elliptic tori in nearly integrable Hamiltonian systems. In particular we adapt the classical Kolmogorov's normali…
math-ph2014
Quasi-periodic motions in a special class of dynamical equations with dissipative effects: a pair of detection methods
Ugo Locatelli, Letizia Stefanelli
We consider a particular class of equations of motion, generalizing to n degrees of freedom the "dissipative spin--orbit problem", commonly studied in Celestial Mechanics. Those eq…