Geodesic
On the model of non-holonomic billiard
Russian journal of nonlinear dynamics, Tome 6 (2010) no. 2, pp. 373-385

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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.
Mots-clés : billiard
Keywords: impact, point mapping, nonintegrability, periodic solution, nonholonomic constraint, integral of motion. 
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     author = {A. V. Borisov and A. A. Kilin and I. S. Mamaev},
     title = {On the model of non-holonomic billiard},
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A. V. Borisov; A. A. Kilin; I. S. Mamaev. On the model of non-holonomic billiard. Russian journal of nonlinear dynamics, Tome 6 (2010) no. 2, pp. 373-385. http://geodesic.mathdoc.fr/item/ND_2010_6_2_a11/