Abstract:
Billiards in three-dimensional confocal domains with slipping along the boundary are considered. Such dynamical systems are Liouville integrable in piecewise-smooth sense. In two-dimensional case, class of billiards with slipping was introduced by A.T.Fomenko. For several types of confocal billiards with slipping the classes of homeomorphism of constant energy surfaces are found, the bifurcation diagrams are constructed and the topology of Liouville foliation in small neighborhoods of singular and non-singular fibers is described.
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