Sinai billiards is the reflection of a ray of light by an arrangement of perfectly reflecting circles in the plane (Trott 2004, pp. 28-30). The path is extremely sensitive to the initial position and angle.
Sinai Billiards
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References
Dorfman, J. R. An Introduction to Chaos in Nonequilibrium Statistical Mechanics. Cambridge, England: Cambridge University Press, 1999.Szász, D. (Ed.). Hard Ball Systems and the Lorentz Gas. Berlin: Springer-Verlag, 2000.Trott, M. The Mathematica GuideBook for Programming. New York: Springer-Verlag, pp. 28-30, 2004. http://www.mathematicaguidebooks.org/.Referenced on Wolfram|Alpha
Sinai BilliardsCite this as:
Weisstein, Eric W. "Sinai Billiards." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SinaiBilliards.html