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Dynamics of rolling disk

A. V. Borisov·I. S. Mamaev·A. A. Kilin
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Abstract

In the paper we present the qualitative analysis of rolling motion without slipping of a homogeneous round disk on a horisontal plane. The problem was studied by S.A. Chaplygin, P. Appel and D. Korteweg who showed its integrability. The behavior of the point of contact on a plane is investigated and conditions under which its trajectory is finit are obtained. The bifurcation diagrams are constructed.

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A. V. Borisov, I. S. Mamaev, A. A. Kilin. 2005-02-18. Dynamics of rolling disk. https://arxiv.org/abs/nlin/0502039

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