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Dynamics of rolling disk | | A.V. Borisov
; I.S. Mamaev
; A.A. Kilin
; | | Date: |
18 Feb 2005 | | Journal: | Regular and Chaotic Dynamics, 2003 Volume 8 Number 2 | | Subject: | Chaotic Dynamics; Exactly Solvable and Integrable Systems | nlin.CD nlin.SI | | 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. | | Source: | arXiv, nlin.CD/0502039 | | Services: | Forum | Review | PDF | Favorites | |
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