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arXiv · math-ph/0510088

Quasi-Chaplygin Systems and Nonholonimic Rigid Body Dynamics

Yuri N. Fedorov·Bozidar Jovanovic
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Abstract

We show that the Suslov nonholonomic rigid body problem can be regarded almost everywhere as a generalized Chaplygin system. Furthermore, this provides a new example of a multidimensional nonholonomic system which can be reduced to a Hamiltonian form by means of Chaplygin reducing multiplier. Since we deal with Chaplygin systems in the local sense, the invariant manifolds of the integrable examples are not necessary tori.

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Yuri N. Fedorov, Bozidar Jovanovic. 2006-02-07. Quasi-Chaplygin Systems and Nonholonimic Rigid Body Dynamics. https://doi.org/10.1007/s11005-006-0069-3

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