Oleg Zubelevich
On a Strange Motion in the System with Anisotropic Dry Friction
(230K, pdf)

ABSTRACT.  We consider a particle on the horizontal plane with a dry friction. The friction is anisotropic but symmetric under the group of rotations of the plane. 
It turns out that the particle can move such that in the finite time the trajectory turns about the center of symmetry infinitely many times.