most citedMagnetic billiards: Non-integrability for strong magnetic field; Gutkin type examples

10 citations · 10 across the 1 of their papers we have counts for

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2 papers

math.DS2020★ 10 cited

Magnetic billiards: Non-integrability for strong magnetic field; Gutkin type examples

Misha Bialy, Andrey E. Mironov, Lior Shalom

We consider magnetic billiards under a strong constant magnetic field. The purpose of this paper is two-folded. We examine the question of existence of polynomial integral of billi…

math.DS2018

Outer billiards with the dynamics of a standard shift on a finite number of invariant curves

Misha Bialy, Andrey E. Mironov, Lior Shalom

We give a beautiful explicit example of a convex plane curve such that the outer billiard has a given finite number of invariant curves. Moreover, the dynamics on these curves is a…