37 citations · 168 across the 15 of their papers we have counts for
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nlin.PS2012★ 37 cited
Interaction of Traveling Waves with Mass-With-Mass Defects within a Hertzian Chain
P. G. Kevrekidis, A. Vainchtein, M. Serra Garcia +1
We study the dynamic response of a granular chain of particles with a resonant inclusion (i.e., a particle attached to a harmonic oscillator, or a mass-with-mass defect). We focus…
math.DS2012★ 8 cited
New Solutions for Slow Moving Kinks in a Forced Frenkel-Kontorova Chain
Phoebus Rosakis, Anna Vainchtein
We construct new traveling wave solutions of moving kink type for a modified, driven, dynamic Frenkel-Kontorova model, representing dislocation motion under stress. Formal solution…