Project CEMAPRE internal
|Title||Dissipative outer billiards on polygons|
|Participants||Gianluigi Del Magno, José Pedro Gaivão (Principal Investigator)|
|Summary||An interesting class of billiards are outer billiards introduced by May and later popularized by|
Moser. On convex polygons, outer billiards are piecewise isometries. The dynamics of outer billiards
on triangles and the square is very simple: every orbit is periodic. Dissipative outer billiards
have a contracting reflection law and belong to the class of piecewise contractions. Typically, the
dynamics of dissipative outer billiards on polygons is asymptotically periodic.