External billiards
Matematičeskoe obrazovanie, no. 1 (2014), pp. 42-57
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The mapping of external billiard in the plane with respect to a smooth convex curve is considered. For some simple cases point trajectories are classified, otherwise the results of computer experiments are shown.
Keywords:
the smooth convex curve display skin billiard trajectory, periodic point, nonperiodic point.
@article{MO_2014_1_a4,
author = {F. D. Pukhovich},
title = {External billiards},
journal = {Matemati\v{c}eskoe obrazovanie},
pages = {42--57},
year = {2014},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MO_2014_1_a4/}
}
F. D. Pukhovich. External billiards. Matematičeskoe obrazovanie, no. 1 (2014), pp. 42-57. http://geodesic.mathdoc.fr/item/MO_2014_1_a4/
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