Elliptical billiard

Author:
Denis
Topic:
Ellipse
Red crosses are foci and point on ellipse. Yellow points are ball and "hand". There are three distinct cases. 1. Strike ray crosses foci segment F1-F2. Quasi- and pure-periodical trajectories with confocal hyperbolas as envelopes. 2. Strike ray not crosses foci segment. The same with confocal ellipses as envelopes. 3. Strike ray pass through one of the foci. Trajectory tends to major axis.
May this billiard be chaotic (ergodic)?