Remark on integrable deformations of the Euler top

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.

Original language	English
Pages (from-to)	995-997
Number of pages	3
Journal	Journal of Mathematical Analysis and Applications
Volume	416
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2014.03.008
Publication status	Published - 15 Aug 2014

Keywords

Euler top
Integrable models

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2014.03.008

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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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