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Remark on integrable deformations of the Euler top (1211.0760v2)
Published 5 Nov 2012 in math-ph and math.MP
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.