1 citations · 2 across the 6 of their papers we have counts for
6 papers
Nineteen Fifty-four: Kolmogorov's new "metrical approach" to Hamiltonian Dynamics
Luigi Chierchia, Isabella Fascitiello
We review Kolmogorov's 1954 fundamental paper {\sl On the Conservation of Conditionally Periodic Motions under Small Perturbation of the Hamiltonian} (Dokl. akad. nauk SSSR,1954, v…
Isolated Diophantine numbers
Fernando Argentieri, Luigi Chierchia
In this short note, we discuss the topology of Diophantine numbers, giving simple explicit examples of Diophantine isolated numbers (among those with same Diophantine constatnts),…
Singular KAM Theory
Luca Biasco, Luigi Chierchia
The question of the total measure of invariant tori in analytic, nearly--integrable Hamiltonian systems is considered. In 1985, Arnol'd, Kozlov and Neishtadt, in the Encyclopaedia…
Complex Arnol'd-Liouville maps
Luca Biasco, Luigi Chierchia
We discuss the holomorphic properties of the complex continuation of the classical Arnol'd-Liouville action-angle variables for real analytic 1 degree--of--freedom Hamiltonian syst…
Explicit estimates on the measure of primary KAM tori
Luca Biasco, Luigi Chierchia
From KAM Theory it follows that the measure of phase points which do not lie on Diophantine, Lagrangian, "primary" tori in a nearly--integrable, real--analytic Hamiltonian system i…
The Steep Nekhoroshev's Theorem
Massimiliano Guzzo, Luigi Chierchia, Giancarlo Benettin
Revising Nekhoroshev's geometry of resonances, we provide a fully constructive and quantitative proof of Nekhoroshev's theorem for steep Hamiltonian systems proving, in particular,…