35 citations · 124 across the 13 of their papers we have counts for
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nlin.PS2011★ 19 cited
Linear local modes induced by intrinsic localized modes in a monatomic chain
V. Hizhnyakov, A. Shelkan, M. Klopov +2
A theory is developed to describe the effect of an intrinsic localized mode (ILM) on small vibrations in a monatomic chain with hard quartic anharmonicity. One prediction is the ap…
cond-mat.mtrl-sci2011
Pressure dependence of two-level systems in disordered atomic chain
A. Shelkan, V. Hizhnyakov
The dependence of two-level systems in disordered atomic chain on pressure, both positive and negative was studied numerically. The disorder was produced through the use of interat…
nlin.PS2011★ 8 cited
Self-consistent theory of intrinsic localized modes: application to monatomic chain
V. Hizhnyakov, A. Shelkan, M. Klopov
A theory of intrinsic localized modes (ILMs) in anharmonic lattices is developed, which allows one to reduce the original nonlinear problem to a linear problem of small variations…