{ "id": "1211.0760", "version": "v2", "published": "2012-11-05T04:27:04.000Z", "updated": "2014-04-03T11:05:30.000Z", "title": "Remark on integrable deformations of the Euler top", "authors": [ "Anton Galajinsky" ], "comment": "V2:the version published in JMAA", "journal": "J. Math. Anal. Appl. 416 (2014) 995-997", "doi": "10.1016/j.jmaa.2014.03.008", "categories": [ "math-ph", "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.", "revisions": [ { "version": "v2", "updated": "2014-04-03T11:05:30.000Z" } ], "analyses": { "keywords": [ "first integrals", "free rotation", "salient feature", "construct integrable deformations", "rigid body" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1211.0760G" } } }