Dynamics of rolling disk

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dc.creatorBorisov, A. V.
dc.creatorMamaev, I. S.
dc.creatorKilin, A. A.
dc.date2005-02-18
dc.date.accessioned2026-07-07T05:36:18Z
dc.date.available2026-07-07T05:36:18Z
dc.descriptionIn 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.
dc.description12 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/nlin/0502039
dc.identifierhttp://arxiv.org/abs/nlin/0502039
dc.identifierRegular and Chaotic Dynamics, 2003 Volume 8 Number 2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80943
dc.subjectChaotic Dynamics
dc.subjectExactly Solvable and Integrable Systems
dc.titleDynamics of rolling disk
dc.typetext

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