INTEGRABLE EULER TOP AND NONHOLONOMIC CHAPLYGIN BALL

被引：21

作者：

Tsiganov, Andrey ^{[1
]}

机构：

[1] St Petersburg State Univ, St Petersburg, Russia

来源：

JOURNAL OF GEOMETRIC MECHANICS | 2011年 / 3卷 / 03期

关键词：

Integrable nonholonomic systems; bi-Hamiltonian geometry; SEPARATION; VARIABLES; SYSTEMS; MOTION; BODY;

D O I：

10.3934/jgm.2011.3.337

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the Poisson structures, Lax matrices, r-matrices, bi-hamiltonian structures, the variables of separation and other attributes of the modern theory of dynamical systems in application to the integrable Euler top and to the nonholonomic Chaplygin ball.

引用

页码：337 / 362

页数：26

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