On the model of non-holonomic billiard

被引：0
|
作者：
Alexey V. Borisov
Alexander A. Kilin
Ivan S. Mamaev
机构：
[1] Udmurt State University,Institute of Computer Science
来源：
Regular and Chaotic Dynamics | 2011年 / 16卷
关键词：
billiard; impact; point map; nonintegrability; periodic solution; nonholonomic constraint; integral of motion; 34D20; 70E40; 37J35;
D O I：
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学科分类号：
摘要：
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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页码：653 / 662
页数：9
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