1 citations · 1 across the 3 of their papers we have counts for
4 papers
Hamiltonian and reversible systems with smooth families of invariant tori
Mikhail B. Sevryuk
For various values of n, d, and the phase space dimension, we construct simple examples of Hamiltonian and reversible systems possessing smooth d-parameter families of invariant n-…
Scattering of particles from a solid surface: The impulsive model of composite encounters
Vyacheslav M. Akimov, Vladimir M. Azriel, Lyubov I. Kolesnikova +2
We propose a general impulsive model for scattering of molecules from a flat solid surface. It is assumed within the framework of this model that an encounter of an atom (or ion) w…
Integrable Hamiltonian systems with a periodic orbit or invariant torus unique in the whole phase space
Mikhail B. Sevryuk
It is very well known that periodic orbits of autonomous Hamiltonian systems are generically organized into smooth one-parameter families (the parameter being just the energy value…
Families of invariant tori in KAM theory: interplay of integer characteristics
Mikhail B. Sevryuk
The purpose of this brief note is twofold. First, we summarize in a very concise form the principal information on Whitney smooth families of quasi-periodic invariant tori in vario…