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arXiv · 1211.0760

Remark on integrable deformations of the Euler top

Anton Galajinsky
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Abstract

The Euler top describes a free rotation of a rigid body about its center of mass and provides an important example of a completely integrable system. A salient feature of its first integrals is that, up to a reparametrization of time, they uniquely determine the dynamical equations themselves. In this note, this property is used to construct integrable deformations of the Euler top.

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Anton Galajinsky. 2014-04-03. Remark on integrable deformations of the Euler top. https://doi.org/10.1016/j.jmaa.2014.03.008

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