79 citations · 118 across the 6 of their papers we have counts for
7 papers
Exact solutions of nonlinear dynamical equations for large-amplitude atomic vibrations in arbitrary monoatomic chains with fixed ends
George Chechin, Denis Ryabov
Intermode interactions in one-dimensional nonlinear periodic structures have been studied by many authors, starting with the classical work by Fermi, Pasta, and Ulam (FPU) in the m…
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…
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,…
Nonlinear vibrational modes in graphene: group-theoretical results
G. Chechin, D. Ryabov, S. Shcherbinin
In-plane nonlinear delocalized vibrations in uniformly stretched single-layer graphene (space group P6mm) are considered with the aid of the group-theoretical methods. These method…
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…
Properties of discrete breathers in graphane from ab initio simulations
G. M. Chechin, S. V. Dmitriev, I. P. Lobzenko +1
A density functional theory (DFT) study of the discrete breathers (DBs) in graphane (fully hydrogenated graphene) was performed. To the best of our knowledge, this is the first dem…