Introducing symplectic billiards
In this article we introduce a simple dynamical system called symplectic billiards. As opposed to usual/Birkhoff billiards, where length is the generating function, for symplectic billiards symplectic area is the generating function. We explore basic properties and exhibit several similarities, but...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
15 June 2018
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| In: |
Advances in mathematics
Year: 2018, Volume: 333, Pages: 822-867 |
| ISSN: | 1090-2082 |
| DOI: | 10.1016/j.aim.2018.05.037 |
| Online Access: | Resolving-System, Volltext: http://dx.doi.org/10.1016/j.aim.2018.05.037 Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S0001870818302196 
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| Author Notes: | Peter Albers, Serge Tabachnikov |
| Summary: | In this article we introduce a simple dynamical system called symplectic billiards. As opposed to usual/Birkhoff billiards, where length is the generating function, for symplectic billiards symplectic area is the generating function. We explore basic properties and exhibit several similarities, but also differences of symplectic billiards to Birkhoff billiards. |
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| Item Description: | Gesehen am 25.01.2019 |
| Physical Description: | Online Resource |
| ISSN: | 1090-2082 |
| DOI: | 10.1016/j.aim.2018.05.037 |