|
Эта публикация цитируется в 5 научных статьях (всего в 5 статьях)
Alexey Borisov Memorial Volume
Billiard Ordered Games and Books
Vladimir Dragovićab, Sean Gasiorekc, Milena Radnovićac a Mathematical Institute SANU,
Kneza Mihaila 36, 11001 Belgrade, Serbia
b Department of Mathematical Sciences,
University of Texas at Dallas,
800 West Campbell Road, 75080 Richardson TX, USA
c School of Mathematics and Statistics,
The University of Sydney,
Carslaw F07, 2006 NSW, Australia
Аннотация:
The aim of this work is to put together two novel concepts from the theory of
integrable billiards: billiard ordered games and confocal billiard books. Billiard books appeared
recently in the work of Fomenko’s school, in particular, of V.Vedyushkina. These more complex
billiard domains are obtained by gluing planar sets bounded by arcs of confocal conics along
common edges. Such domains are used in this paper to construct the configuration space for
billiard ordered games.We analyse dynamical and topological properties of the systems obtained
in that way.
Ключевые слова:
integrable systems, topological billiards, billiard books, Fomenko graphs.
Поступила в редакцию: 21.11.2021 Принята в печать: 09.02.2021
Образец цитирования:
Vladimir Dragović, Sean Gasiorek, Milena Radnović, “Billiard Ordered Games and Books”, Regul. Chaotic Dyn., 27:2 (2022), 132–150
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd1157 https://www.mathnet.ru/rus/rcd/v27/i2/p132
|
Статистика просмотров: |
Страница аннотации: | 116 | PDF полного текста: | 1 | Список литературы: | 21 |
|