most citedSpectral asymptotics and Lamé spectrum for coupled particles in periodic potentials

2 citations · 2 across the 1 of their papers we have counts for

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2 papers

math.DS2021★ 2 cited

Spectral asymptotics and Lamé spectrum for coupled particles in periodic potentials

Ki Yeun Kim, Mark Levi, Jing Zhou

We make two observations on the motion of coupled particles in a periodic potential. Coupled pendula, or the space-discretized sine-Gordon equation is an example of this problem. L…

math.DS2016

Chaotic dynamics of a bouncing coin

Ki Yeun Kim

We study the dynamics of a bouncing coin whose motion is restricted to the two-dimensional plane. Such coin model is equivalent to the system of two equal masses connected by a rig…