Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2006, Volume 2, Number 2, Pages 193–198 (Mi nd162)  
New integral in nonholonomic Painlevé–Chaplygin problem

A. A. Kilinab

a Udmurt State University
b Institute of Computer Science
Full-text PDF (132 kB)
Abstract: In the paper we present a new integral of motion in the problem of rolling motion of a heavy symmetric sphere on the surface of a paraboloid. We use this integral to study the Lyapunov stability of some trivial steady rotations.
Keywords: dynamical system, non-holonomic constraint, integral, periodic solution, Lyapunov stability.
Document Type: Article
UDC: 531.38
MSC: 34A34, 34C14, 34D20
Language: Russian
Citation: A. A. Kilin, “New integral in nonholonomic Painlevé–Chaplygin problem”, Nelin. Dinam., 2:2 (2006), 193–198
Citation in format AMSBIB
\Bibitem{Kil06}
\by A.~A.~Kilin
\paper New integral in nonholonomic Painlev{\'e}--Chaplygin problem
\jour Nelin. Dinam.
\yr 2006
\vol 2
\issue 2
\pages 193--198
\mathnet{http://mi.mathnet.ru/nd162}
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  • https://www.mathnet.ru/eng/nd/v2/i2/p193
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    		Нелинейная динамика
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