35 citations · 124 across the 13 of their papers we have counts for
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nlin.PS2015★ 32 cited
Transverse intrinsic localized modes in monatomic chain and in graphene
V. Hizhnyakov, M. Klopov, A. Shelkan
In this paper an analytical and numerical study of anharmonic vibrations of monatomic chain and graphene in transverse (perpendicular) with respect to the chain/plane direction is…
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…
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…