2 papers
nlin.PS2022
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…
nlin.PS2011
Discrete breathers on symmetry-determined invariant manifolds for scalar models on the plane square lattice
George Chechin, Galina Bezuglova, Petr Goncharov
A group-theoretical approach for studying localized periodic and quasiperiodic vibrations in 2D and 3D lattice dynamical models is developed. This approach is demonstrated for the…