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Dynamics of billiard with periodically time-dependent boundaries. (Russian) Zbl 1046.60094
Dynamic systems corresponding to billiards with periodically perturbed boundaries are investigated. A general approach relies upon the Aubrey-Mather theory. On the basis of investigation of the billiard maps there are considered planar billiards with time-dependent boundaries in the form of stadium or circle as well as billiards on two-dimensional spheres with the boundary formed by a disk of varying radius.
MSC:
60K35 Interacting random processes; statistical mechanics type models; percolation theory
82C43 Time-dependent percolation in statistical mechanics
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