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    On the model of non-holonomic billiard

    2010, Vol. 6, No. 2, pp.  373-385

    Author(s): Borisov A. V., Kilin A. A., Mamaev I. S.

    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.



    Keywords: billiard, impact, point mapping, nonintegrability, periodic solution, nonholonomic constraint, integral of motion
    Citation: Borisov A. V., Kilin A. A., Mamaev I. S., On the model of non-holonomic billiard, Rus. J. Nonlin. Dyn., 2010, Vol. 6, No. 2, pp.  373-385
    DOI:10.20537/nd1002012


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