This article is cited in 2 scientific papers (total in 3 papers)
Rubber ball on a plane: singular solutions
A. Yu. Moskvin
M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
The paper deals with the rolling motion of a balanced, dynamically asymmetric ball on a plane without sliding and spinning. The problem is natural but was not considered by classicists. Generalizations of the problem are analyzed for the case where gyrostat and force Brun field are added. To investigate the dynamic behavior of the system some peculiar periodic solutions are described and their stability is examined. By integral mapping, bifurcation diagrams and bifurcation complexes are constructed.
bifurcation complex, rubber ball, stability, nonholonomic system.
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A. Yu. Moskvin, “Rubber ball on a plane: singular solutions”, Nelin. Dinam., 6:2 (2010), 345–358
Citation in format AMSBIB
\paper Rubber ball on a plane: singular solutions
\jour Nelin. Dinam.
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Rozenblat G.M., “On the Choice of Physically Realizable Parameters When Studying the Dynamics of Spherical and Ellipsoidal Rigid Bodies”, Mech. Sol., 51:4 (2016), 415–423
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