On the Lie integrability theorem for the Chaplygin ball

被引：6

作者：

Tsiganov, Andrey V. ^{[1
]}

机构：

[1] St Petersburg State Univ, Ul Ulyanovskaya 1, St Petersburg 198504, Russia

来源：

REGULAR & CHAOTIC DYNAMICS | 2014年 / 19卷 / 02期

关键词：

nonholonomic dynamical system; Poisson bracket; Lie theorem; Chaplygin ball; NONHOLONOMIC CHAPLYGIN;

D O I：

10.1134/S1560354714020038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The necessary number of commuting vector fields for the Chaplygin ball in the absolute space is constructed. We propose to get these vector fields in the framework of the Poisson geometry similar to Hamiltonian mechanics.

引用

页码：185 / 197

页数：13

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