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Stadium Billiards


Stadium billiards refers to the investigation of the path of a billiard ball on a stadium-shaped billiard table, as first investigated by Bunimovich (1974).


See also

Billiards, Stadium

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References

Alt, H.; Dembowski, C.; Graef, H.-D.; Hofferbert, R.; Rehfeld, H.; Richter, A.; and Schmit, C. "Experimental vs. Numerical Eigenvalues of a Bunimovich Stadium Billiard--A Comparison." 21 Jun 1999. http://arxiv.org/abs/chao-dyn/9906032.Bunimovich, L. A. "On Ergodic Properties of Certain Billiards." Funct. Anal. Appl. 8, 254-255, 1974.Bunimovich, L. A. "On the Ergodic Properties of Nowhere Dispersing Billiards." Commun. Math. Phys. 65, 295-312, 1985.Bunimovich, L. A. "Decay of Correlations in Dynamical Systems with Chaotic Behavior." Sov. Phys. JETP 62, 842-852, 1985.Harrison, D. M. "Bunimovich Stadium." http://www.upscale.utoronto.ca/GeneralInterest/Harrison/Flash/Chaos/Bunimovich/Bunimovich.html.Peterson, I. "MathLand: Billiards in the Round." March 3, 1997. http://www.maa.org/mathland/mathland_3_3.html.Trott, M. The Mathematica GuideBook for Symbolics. New York: Springer-Verlag, pp. 1030-1035, 2006. http://www.mathematicaguidebooks.org/.

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Stadium Billiards

Cite this as:

Weisstein, Eric W. "Stadium Billiards." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/StadiumBilliards.html

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