79 citations · 219 across the 21 of their papers we have counts for
22 papers
Resonant excitation of the bushes of nonlinear vibrational modes in monoatomic chains
George Chechin, Galina Bezuglova
Intermode interactions in one-dimensional nonlinear periodic structures have been studied by many authors, starting with the classic work by Fermi, Pasta, and Ulam (FPU) in the mid…
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…
New static structures in the strained carbon and boron chains
George Chechin, Victoria Lapina
We discuss bi-structures with one or two long bonds in the central part of the strained monoatomic chains appearing abruptly as a result of hard bifurcations of the static form wit…
Static structures of strained carbon chains:DFT-modeling vs classical modeling of the chain with Lennard-Jones potential
George Chechin, Victoria Lapina
We proved earlier that in the strained monoatomic chains with Lennard-Jones potential there can exist an equilibrium static bi-structure, which corresponds to N - 1 equal short int…
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,…