2 citations · 4 across the 4 of their papers we have counts for
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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…
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…
Billiard dynamics of bouncing dumbbell
Y. Baryshnikov, V. Blumen, K. Kim +1
A system of two masses connected with a weightless rod (called dumbbell in this paper) interacting with a flat boundary is considered. The sharp bound on the number of collisions w…
Three-Period Orbits in Billiards on the Surfaces of Constant Curvature
Victoria Blumen, Ki Yeun Kim, Joe Nance +1
An approach due to Wojtkovski [9], based on the Jacobi fields, is applied to study sets of 3-period orbits in billiards on hyperbolic plane and on two-dimensional sphere. It is fou…