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
收藏
页码：1419 / 1443
页数：25
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