Search Results - "Sevryuk, Mikhail B."

Hamiltonian and reversible systems with smooth families of invariant tori by Sevryuk, Mikhail B.

“…For various values of n, d, and the phase space dimension, we construct simple examples of Hamiltonian and reversible systems possessing smooth d-parameter…”
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Families of invariant tori in KAM theory: Interplay of integer characteristics by Sevryuk, Mikhail B.

“…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…”
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Phase-space invariants as indicators of the critical behavior of nanoaggregates by AQUILANTI, Vincenzo, LOMBARDI, Andrea, SEVRYUK, Mikhail B, YURTSEVER, Ersin

“…A phase-space approach is proposed for molecular dynamics simulations, which serve as a bridge between detailed descriptions of microscopic world and…”
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Whitney smooth families of invariant tori within the reversible context 2 of KAM theory by Sevryuk, Mikhail B.

“…We prove a general theorem on the persistence of Whitney C ∞ -smooth families of invariant tori in the reversible context 2 of KAM theory. This context refers…”
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Integrable Hamiltonian Systems with a Periodic Orbit or Invariant Torus Unique in the Whole Phase Space by Sevryuk, Mikhail B.

“…It is very well known that periodic orbits of autonomous Hamiltonian systems are generically organized into smooth one-parameter families (the parameter being…”
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Statistical dynamics of bimolecular recombination of alkali and halide ions by Akimov, Vyacheslav M., Azriel, Vladimir M., Ermolova, Ekaterina V., Kabanov, Dmitrii B., Rusin, Lev Yu, Sevryuk, Mikhail B.

“…By means of quasiclassical trajectory simulation on semiempirical diabatic potential energy surfaces proposed earlier, we have studied the dynamics of the…”
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Detailed dynamics of bimolecular recombination of heavy atomic ions by Akimov, Vyacheslav M., Azriel, Vladimir M., Ermolova, Ekaterina V., Kabanov, Dmitrii B., Kolesnikova, Lyubov’ I., Rusin, Lev Yu, Sevryuk, Mikhail B.

“…We consider the main features of detailed dynamics of the bimolecular process of recombination of the atomic ion Cs + with the ions F – and I – via the ionic…”
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Dynamical Mechanisms of Direct Three-Body Recombination by Azriel, Vladimir M, Kolesnikova, Ekaterina V, Rusin, Lev Yu, Sevryuk, Mikhail B

“…Despite the ubiquity of recombination processes in nature and various technologies, presently little is known about the dynamics of these processes. This…”
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Scattering of particles from a solid surface: the impulsive model of composite encounters by Akimov, Vyacheslav M., Azriel, Vladimir M., Kolesnikova, Lyubov I., Rusin, Lev Yu, Sevryuk, Mikhail B.

“…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…”
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Three Examples in the Dynamical Systems Theory by Sevryuk, Mikhail B.

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Long-Range Interaction in Some Simple Open-Shell Systems, Including Rare-Gas Sulfides:  Features of Post-Adiabatic Potentials and Couplings by Sevryuk, Mikhail B, Rusin, Lev Yu, Cavalli, Simonetta, Aquilanti, Vincenzo

“…The first-order post-adiabatic representations in the sense of Klar and Fano (Klar, H.; Fano, U. Phys. Rev. Lett. 1976, 37, 1132−1134) are obtained for…”
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Translation of the V. I. Arnold paper “From Superpositions to KAM Theory” (Vladimir Igorevich Arnold. Selected — 60, Moscow: PHASIS, 1997, pp. 727–740) by Sevryuk, Mikhail B.

“…V. I. Arnold (12 June 1937–3 June 2010) published several papers where he described, in the form of recollections, his two earliest research problems…”
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Quasi-periodic perturbations within the reversible context 2 in KAM theory by Sevryuk, Mikhail B.

“…The paper consists of two sections. In Section 1, we give a short review of KAM theory with an emphasis on Whitney smooth families of invariant tori in typical…”
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The reversible context 2 in KAM theory: the first steps by Sevryuk, Mikhail B.

“…The reversible context 2 in KAM theory refers to the situation where dim Fix G < 1/2 codim T , here Fix G is the fixed point manifold of the reversing…”
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Dynamics of two-stage direct three-body recombination of ions by Azriel, Vladimir M., Rusin, Lev Yu, Sevryuk, Mikhail B.

“…[Display omitted] ► Direct recombination of Cs cation and Br anion in the presence of Xe is studied. ► Quasiclassical trajectory method is employed on a…”
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A hard-sphere model for the reactions of two diatomic molecules with ionic bond by Azriel, Vladimir M, Rusin, Lev Yu, Sevryuk, Mikhail B

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Statistics of energy partitions for many-particle systems in arbitrary dimension by Aquilanti, Vincenzo, Lombardi, Andrea, Sevryuk, Mikhail B.

“…In some previous articles, we defined several partitions of the total kinetic energy T of a system of N classical particles in ℝ d into components…”
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Three Examples in the Dynamical Systems Theory by Sevryuk, Mikhail B

“…SIGMA 18 (2022), 084, 13 pages We present three explicit curious simple examples in the theory of dynamical systems. The first one is an example of two…”
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Hamiltonian and reversible systems with smooth families of invariant tori by Sevryuk, Mikhail B

“…For various values of n, d, and the phase space dimension, we construct simple examples of Hamiltonian and reversible systems possessing smooth d-parameter…”
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Integrable Hamiltonian systems with a periodic orbit or invariant torus unique in the whole phase space by Sevryuk, Mikhail B

“…Arnold Mathematical Journal, 2018, Vol. 4, No. 3-4, pp. 415-422 It is very well known that periodic orbits of autonomous Hamiltonian systems are generically…”
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