Stability of relative equilibria of multidimensional rigid body

被引：5

作者：

Izosimov, Anton ^{[1
,2
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia

[2] Natl Res Univ, Higher Sch Econ, Moscow 101978, Russia

来源：

NONLINEARITY | 2014年 / 27卷 / 06期

关键词：

stability; free rigid body; multidimensional rigid body; bi-Hamiltonian structures; COMPATIBLE POISSON BRACKETS; TOPOLOGY;

D O I：

10.1088/0951-7715/27/6/1419

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is a classical result of Euler that the rotation of a torque-free three-dimensional rigid body about the short or the long axis is stable, whereas the rotation about the middle axis is unstable. This result is generalized to the case of a multidimensional body.

引用

页码：1419 / 1443

页数：25

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