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nlin.PS2021
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…
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,…