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

页码：193 / 211

页数：19

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