Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2009, Volume 5, Number 4, Pages 625–632 (Mi nd117)  
This article is cited in 2 scientific papers (total in 2 papers)

On the motion of a ball without bouncing on a smooth plane

V. V. Vaskin, O. S. Naymushina

Udmurt State University
Full-text PDF (337 kB) Citations (2)
Abstract: We analyze domains of an axisymmetric ball with the shifted center mass motion without bouncing (i. e. in constant contact) on a smooth plane. We show that these domains belong to the region of parameters, corresponding to regimes of regular precession (the ball's axis about axis $z$). We also give explicit formulas for domain boundaries.
Keywords: rigid body, motion without bouncing on a smooth plane.
Received: 03.12.2009
Document Type: Article
UDC: 531.01
MSC: 37N15
Language: Russian
Citation: V. V. Vaskin, O. S. Naymushina, “On the motion of a ball without bouncing on a smooth plane”, Nelin. Dinam., 5:4 (2009), 625–632
Citation in format AMSBIB
\Bibitem{VasNai09}
\by V.~V.~Vaskin, O.~S.~Naymushina
\paper On the motion of a ball without bouncing on a smooth plane
\jour Nelin. Dinam.
\yr 2009
\vol 5
\issue 4
\pages 625--632
\mathnet{http://mi.mathnet.ru/nd117}
Linking options:
  • https://www.mathnet.ru/eng/nd117
  • https://www.mathnet.ru/eng/nd/v5/i4/p625
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