Dynamics of rolling disk

    2003, Volume 8, Number 2, pp.  201-212

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

    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.
    Citation: Borisov A. V., Mamaev I. S., Kilin A. A., Dynamics of rolling disk, Regular and Chaotic Dynamics, 2003, Volume 8, Number 2, pp. 201-212

    Download File
    PDF, 648.4 Kb