4 papers
Linear Stability of Periodic Trajectories in Inverse Magnetic Billiards
Sean Gasiorek
We study the stability of periodic trajectories of planar inverse magnetic billiards, a dynamical system whose trajectories are straight lines inside a connected planar domain …
Integrable Billiards on a Minkowski Hyperboloid: Extremal Polynomials and Topology
Vladimir Dragovic, Sean Gasiorek, Milena Radnovic
We consider billiard systems within compact domains bounded by confocal conics on a hyperboloid of one sheet in the Minkowski space. We derive conditions for elliptic periodicity f…
Pseudo-Euclidean Billiards within Confocal Curves on the Hyperboloid of One Sheet
Sean Gasiorek, Milena Radnovic
We consider a billiard problem for compact domains bounded by confocal conics on a hyperboloid of one sheet in the Minkowski space. We show that there are two types of confocal fam…
Counting Collisions in an -Billiard System Using Angles Between Collision Subspaces
Sean Gasiorek
The principal angles between binary collision subspaces in an -billiard system in -dimensional Euclidean space are computed. These angles are computed for equal masses and ar…