 2019 - 2020 | |||||||||||||||||||||||||||||
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| 0366-5065 | Geometry of billiards | ||||||||||||||||||||||||||||
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| FACULTY OF EXACT SCIENCES | |||||||||||||||||||||||||||||
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University credit hours: 3.0
Course description
Various models of billiards. Birkhoff plane billiards. Notion of complete integrability.
Generatin function and variational principle. Invariant curves and converse KAM.
Gutkin billiards and generalizations. Magnetic, Outer and Wire billiards.
Recommended books
1. Arnold V.I. Mathematical methods of classical mechanics
2. Tabachnikov S. L. Billiards (can be doanloaded from his webpage)