A detailed description of topology of integrable billiard systems is given. For elliptical billiards and geodesic billiards on ellipsoid, the corresponding Fomenko graphs are constructed.
Keywords:
elliptical billiard, Liouville foliation, isoenergy manifold, Liouville equivalence, Fomenko graph
Citation:
Dragović V., Radnović M., Bifurcations of Liouville tori in elliptical billiards, Regular and Chaotic Dynamics,
2009, Volume 14, Numbers 4-5,
pp. 479-494