Dynamics of rolling disk

Details Dynamics of rolling disk Dynamics of rolling disk

2005-02-18

arxiv.org/abs/nlin/0502039v1

Regular and Chaotic Dynamics, 2003 Volume 8 Number 2

Nonlinear Sciences

Chaotic Dynamics

12 pages, 9 figures

Scientific paper

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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