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Generic properties of periodic reflecting rays

Published online by Cambridge University Press:  19 September 2008

Luchezar Stojanov
Luchezar Stojanov
Affiliation:
Institute of Mathematics, Bulgarian Academy of Sciences, 1090 Sofia, Bulgaria
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Abstract

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It is shown that for generic domains D in n, n ≥ 2, every periodic billiard trajectory in D passes only once through each of its reflection points, and any two different periodic billiard trajectories in D have no common reflection point.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 7 , Issue 4 , December 1987 , pp. 597 - 609
Copyright
Copyright © Cambridge University Press 1987

References

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