15 citations · 18 across the 3 of their papers we have counts for
3 papers
nlin.PS2017★ 1 cited
Localization in Coupled Finite Vibro-Impact Chains: Discrete Breathers and Multibreathers
Itay Grinberg, Oleg V. Gendelman
We examine the dynamics of strongly localized periodic solutions (discrete breathers) in two-dimensional array of coupled finite one-dimensional chains of oscillators. Localization…
nlin.PS2017★ 2 cited
Localization in finite asymmetric vibro-impact chains
I. Grinberg, O. V. Gendelman
We explore the dynamics of strongly localized periodic solutions (discrete solitons, or discrete breathers) in a finite one-dimensional chain of asymmetric vibro-impact oscillators…
nlin.PS2016★ 15 cited
Discrete Breathers and Multi-Breathers in Finite Vibro-Impact Chain
Itay Grinberg, Oleg V. Gendelman
We explore dynamics of discrete breathers and multi-breathers in finite one-dimensional chain. The model involves parabolic on-site potential with rigid constraints and linear near…