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Mathematics > Dynamical Systems

arXiv:math/0405280 (math)
[Submitted on 14 May 2004]

Title:Periodic billiard orbits in right triangle

Authors:Serge Troubetzkoy
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Abstract: There is an open set of right triangles such that for each irrational triangle in this set (i) periodic billiards orbits are dense in the phase space, (ii) there is a unique nonsingular perpendicular billiard orbit which is not periodic, and (iii) the perpendicular periodic orbits fill the corresponding invariant surface.
Subjects: Dynamical Systems (math.DS)
Cite as: arXiv:math/0405280 [math.DS]
  (or arXiv:math/0405280v1 [math.DS] for this version)
  https://doi.org/10.48550/arXiv.math/0405280
Journal reference: Annales de l'Institut Fourier 55 (2005) 29-46

Submission history

From: essor Serge Troubetzkoy [view email] [via CCSD proxy]
[v1] Fri, 14 May 2004 13:54:31 UTC (27 KB)
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