activity
20062026
most citedWhitney Smooth Families of Invariant Tori within the Reversible Context 2 of KAM Theory

5 citations · 10 across the 12 of their papers we have counts for

collaborators

14 papers

physics.chem-ph2026★ 1 cited

The Existence Regions for Transcomplex Recombination of Heavy Ions. Two-Dimensional Recombination Regions and Surroundings Indices

V. M. Akimov, V. M. Azriel, E. V. Ermolova +4

In this paper, we examine transcomplex recombination RCs + Br CsBr + R (R = Kr, Xe, Hg) for collision energies from 0.1 to 2.5 eV. Within the framework of the quasicl…

math.DS2022

Three Examples in the Dynamical Systems Theory

Mikhail B. Sevryuk

We present three explicit curious simple examples in the theory of dynamical systems. The first one is an example of two analytic diffeomorphisms , of a closed two-dimension…

math.DS2020

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-…

physics.chem-ph2019

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…

math.DS2018★ 1 cited

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…

math.DS2017★ 1 cited

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…