25 citations · 25 across the 2 of their papers we have counts for
3 papers
nlin.PS2020
Properties of large-amplitudes vibrations in dynamical systems with discrete symmetry. Geometrical aspects
George Chechin, Denis Ryabov
The research group from the Rostov State University has been developing the theory of bushes of nonlinear normal modes (NNMs) in Hamiltonian systems with discrete symmetry since th…
nlin.PS2018
Large-amplitude periodic atomic vibrations in diamond
George Chechin, Denis Ryabov, Stepan Shcherbinin
Symmetry-determined nonlinear normal modes, which describe large-amplitude vibrations of diamond lattice, are studied by specific group-theoretical methods. For two of these modes,…
quant-ph2015★ 25 cited
Studying of nonlinear normal modes interactions in SF6 molecule with the aid of the density functional theory
G. Chechin, D. Ryabov, S. Shcherbinin
Some exact interactions between vibrational modes in systems with discrete symmetry can be described by the theory of the bushes of nonlinear normal modes (NNMs) [G.M. Chechin, V.P…