Remark on integrable deformations of the Euler top

详细信息    查看全文

• 作者：Anton Galajinsky^a ; ^b ; ^{galajin@tpu.ru" class="auth_mail}
• 关键词：Integrable models ; Euler top
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：15 August, 2014
• 年：2014
• 卷：416
• 期：2
• 页码：995-997
• 全文大小：182 K

文摘

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.