Dynamics of rolling disk

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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.
12 pages, 9 figures

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Chaotic Dynamics, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/80943

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0502039
 http://arxiv.org/abs/nlin/0502039
 Regular and Chaotic Dynamics, 2003 Volume 8 Number 2

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arXiv