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arXiv · 1402.0663

Symmetry in systems with gyroscopic forces

M. P. Kharlamov
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Abstract

We consider a generalization of the notion of a natural mechanical system to the case of additional forces of gyroscopic type. Such forces appear, for example, as a result of global reduction of a natural system with symmetry. We study symmetries in the systems with gyroscopic forces to find out when these systems admit a global analogue of a cyclic integral. The results are applied to the problem of the motion of a rigid body about a fixed point in potential and gyroscopic forces to find the most general form of such forces admitting the global area type integral.

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BibTeXRIS

M. P. Kharlamov. 2014-02-04. Symmetry in systems with gyroscopic forces. https://arxiv.org/abs/1402.0663

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