On the model of non-holonomic billiard |
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Authors: | Alexey V Borisov Alexander A Kilin Ivan S Mamaev |
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Institution: | 1.Institute of Computer Science,Udmurt State University,Izhevsk,Russia |
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Abstract: | In this paper we develop a new model of non-holonomic billiard that accounts for the intrinsic rotation of the billiard ball.
This model is a limit case of the problem of rolling without slipping of a ball without slipping over a quadric surface. The
billiards between two parallel walls and inside a circle are studied in detail. Using the three-dimensional-point-map technique,
the non-integrability of the non-holonomic billiard within an ellipse is shown. |
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