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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,…
nlin.PS2013
Delocalized periodic vibrations in nonlinear electrical chains
G. M. Chechin, S. A. Shcherbinin
We consider an electrical chain of N nonlinear capacitors coupled by linear inductors assuming that voltage dependence of capacitors represents an even function. We prove that only…