Abstract:
In the paper, we give the Liouville classification of
five interesting cases of topological
billiards glued from two flat billiards bounded by arcs of
confocal quadrics in the Minkowski plane. For each billiard, we
calculate the marked Fomenko–Zieschang molecule, in other words
the invariant of an integrable Hamiltonian system that completely
determines the type of its Liouville foliation.
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