66 citations · 114 across the 8 of their papers we have counts for
3 papers · 1 filter
Where to place a hole to achieve a maximal escape rate
Leonid Bunimovich, Alex Yurchenko
A natural question of how the survival probability depends upon a position of a hole was seemingly never addressed in the theory of open dynamical systems. We found that this depen…
Track billiards
Leonid A. Bunimovich, Gianluigi Del Magno
We study a class of planar billiards having the remarkable property that their phase space consists up to a set of zero measure of two invariant sets formed by orbits moving in opp…
On ergodic and mixing properties of the triangle map
Martin Horvat, Mirko Degli Esposti, Stefano Isola +2
In this paper we study in detail, both analytically and numerically, the dynamical properties of the triangle map, a piecewise parabolic automorphism of the two-dimensional torus,…