Asymptotic stability and associated problems of dynamics of falling rigid body

被引：27
作者：
Borisov, A. V.
Kozlov, V. V.
Mamaev, I. S.
机构：
[1] Udmurt State Univ, Inst Comp Sci, Izhevsk 426034, Russia
[2] Russian Acad Sci, VA Steklov Math Inst, Moscow 119991, Russia
来源：
REGULAR & CHAOTIC DYNAMICS | 2007年 / 12卷 / 05期
基金：
俄罗斯基础研究基金会;
关键词：
rigid body; ideal fluid; non-holonomic mechanics;
D O I：
10.1134/S1560354707050061
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider two problems from the rigid body dynamics and use new methods of stability and asymptotic behavior analysis for their solution. The first problem deals with motion of a rigid body in an unbounded volume of ideal fluid with zero vorticity. The second problem, having similar asymptotic behavior, is concerned with motion of a sleigh on an inclined plane. The equations of motion for the second problem are non-holonomic and exhibit some new features not typical for Hamiltonian systems. A comprehensive survey of references is given and new problems connected with falling motion of heavy bodies in fluid are proposed.
引用
收藏
页码：531 / 565
页数：35
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