Topology of Integrable Billiard in an Ellipse in the Minkowski Plane with the Hooke Potentialстатья
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Дата последнего поиска статьи во внешних источниках: 6 июля 2022 г.
Аннотация:The integrability of billiards bounded by arcs of confocal quadrics in the Minkowski plane in a field with the Hooke potential is obtained. The case of this type of a billiard in an ellipse is studied in detail. In addition to that, the topology of Liouville foliations arising in this problem is studied and Fomenko invariants are constructed.