44 citations · 108 across the 5 of their papers we have counts for
Showing math-phShow all
2 papers · 1 filter
math-ph2023★ 4 cited
On the role of the Integrable Toda model in one-dimensional molecular dynamics
Giancarlo Benettin, Giuseppe Orsatti, Antonio Ponno
We prove that the common Mie-Lennard-Jones (MLJ) molecular potentials, appropriately normalized via an affine transformation, converge, in the limit of hard-core repulsion, to the…
math-ph2014★ 1 cited
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,…