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Эта публикация цитируется в 4 научных статьях (всего в 4 статьях)
Regularity of Bunimovich's Stadia
N. Chernova, H. K. Zhangb a Department of Mathematics,
University of Alabama at Birmingham, AL 35294, USA
b Department of Mathematics and Physics,
North China Electric Power University, Baoding, Hebei 071003, China
Аннотация:
Stadia are popular models of chaotic billiards introduced by Bunimovich in 1974. They are analogous to dispersing billiards due to Sinai, but their fundamental technical characteristics are quite different. Recently many new results were obtained for various chaotic billiards, including sharp bounds on correlations and probabilistic limit theorems, and these results require new, more powerful technical apparatus. We present that apparatus here, in the context of stadia, and prove "regularity" properties.
Ключевые слова:
billiards, stadium, hyperbolicity, chaos, absolute continuity, distortion bounds.
Поступила в редакцию: 03.03.2007 Принята в печать: 04.05.2007
Образец цитирования:
N. Chernov, H. K. Zhang, “Regularity of Bunimovich's Stadia”, Regul. Chaotic Dyn., 12:3 (2007), 335–356
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd627 https://www.mathnet.ru/rus/rcd/v12/i3/p335
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