Remark on integrable deformations of the Euler top

Anton Galajinsky

Research output: Contribution to journal › Article

6 Citations (Scopus)

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 languageEnglish
Pages (from-to)995-997
Number of pages3
JournalJournal of Mathematical Analysis and Applications
Volume416
Issue number2
DOIs
Publication statusPublished - 15 Aug 2014

Fingerprint

Euler
Completely Integrable Systems
Reparametrization
First Integral
Barycentre
Rigid Body

Keywords

  • Euler top
  • Integrable models

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Remark on integrable deformations of the Euler top. / Galajinsky, Anton.

In: Journal of Mathematical Analysis and Applications, Vol. 416, No. 2, 15.08.2014, p. 995-997.

Research output: Contribution to journal › Article

Galajinsky, A 2014, 'Remark on integrable deformations of the Euler top', Journal of Mathematical Analysis and Applications, vol. 416, no. 2, pp. 995-997. https://doi.org/10.1016/j.jmaa.2014.03.008
Galajinsky A. Remark on integrable deformations of the Euler top. Journal of Mathematical Analysis and Applications. 2014 Aug 15;416(2):995-997. https://doi.org/10.1016/j.jmaa.2014.03.008
Galajinsky, Anton. / Remark on integrable deformations of the Euler top. In: Journal of Mathematical Analysis and Applications. 2014 ; Vol. 416, No. 2. pp. 995-997.
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