Topological transitivity of billiards in polygons |
| |
| Authors: | A N Zemlyakov A B Katok |
| |
| Institution: | (1) M. V. Lomonosov Moscow State University, USSR;(2) Central Economicomathematical Institute, Academy of Sciences of the USSR, USSR |
| |
| Abstract: | Consider a billiard in a polygon Q R2 having all angles commensurate with  . For the majority of initial directions, density of every infinite semitrajectory in configuration space is proved. Also proved is the typicality of polygons for which some billiard trajectory is dense in phase space.Translated from Matematicheskie Zametki, Vol. 18, No. 2, pp. 291–300, August, 1975. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
