Suslov Problem with the Clebsch - Tisserand Potential

被引：1
|
作者：
Hu, Shengda [1 ]
Santoprete, Manuele [1 ]
机构：
[1] Wilfrid Laurier Univ, Dept Math, 75 Univ Ave West, Waterloo, ON, Canada
来源：
REGULAR & CHAOTIC DYNAMICS | 2018年 / 23卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Suslov Problem; topology of level sets; nonholonomic systems; rigid body; Chaplygin systems; SUPERINTEGRABILITY; MECHANICS; DYNAMICS;
D O I：
10.1134/S1560354718020053
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a nonholonomic mechanical system, namely, the Suslov problem with the Clebsch - Tisserand potential. We analyze the topology of the level sets defined by the integrals in two ways: using an explicit construction and as a consequence of the Poincare - Hopf theorem. We describe the flow on such manifolds.
引用
收藏
页码：193 / 211
页数：19
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