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Algorithmic Construction of Two-Dimensional Singular Fibers of Atoms of Billiards in Non-Convex Domains
Moscow University Mathematics Bulletin ( IF 0.2 ) Pub Date : 2021-03-10 , DOI: 10.3103/s0027132220030043
V. A. Moskvin

Abstract

Planar billiards in nonconvex areas bounded by segments of confocal quadrics are studied. The topology of 2-dimensional fibers of Fomenko’s atoms is studied and a constructing algorithm is presented.



中文翻译:

非凸域中台球原子二维奇异纤维的算法构造

摘要

研究了以共焦二次曲面的段为边界的非凸面区域中的平面台球。研究了Fomenko原子的二维纤维的拓扑结构,提出了一种构造算法。

更新日期:2021-03-11
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