Abstract
In this chapter we consider dynamical systems of the billiards type, i.e., dynamical systems corresponding to the inertial motion of a point mass inside a domain with a piece-wise smooth boundary. Upon reaching the boundary, the point bounces off in accordance to the usual rule: “the angle of incidence is equal to the angle of reflection.” Besides the intrinsic interest of the problem, systems of billiards are remarkable in view of the fact that they naturally appear in many important problems of physics.
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© 1982 Springer-Verlag New York Inc.
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Cornfeld, I.P., Fomin, S.V., Sinai, Y.G. (1982). Billiards. In: Ergodic Theory. Grundlehren der mathematischen Wissenschaften, vol 245. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-6927-5_6
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DOI: https://doi.org/10.1007/978-1-4615-6927-5_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4615-6929-9
Online ISBN: 978-1-4615-6927-5
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