Integrability and stochastic behavior in some nonholonomic dynamics problems
2013, Vol. 9, No. 2, pp. 257-265
Author(s): Bizyaev I. A., Kazakov A. O.
In this paper, we investigate the dynamics of systems describing the rolling without slipping and spinning (rubber rolling) of an ellipsoid on a plane and a sphere. We research these problems using Poincare maps, which investigation helps to discover a new integrable case.
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