Symmetries and reduction in nonholonomic mechanics

被引：0
|
作者：
Alexey V. Borisov
Ivan S. Mamaev
机构：
[1] Udmurt State University,
[2] M. T. Kalashnikov Izhevsk State Technical University,undefined
来源：
Regular and Chaotic Dynamics | 2015年 / 20卷
关键词：
reduction; symmetry; tensor invariant; first integral; symmetry group; symmetry field; nonholonomic constraint; Noether theorem; 37J60; 37J35; 37C10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is a review of the problem of the constructive reduction of nonholonomic systems with symmetries. The connection of reduction with the presence of the simplest tensor invariants (first integrals and symmetry fields) is shown. All theoretical constructions are illustrated by examples encountered in applications. In addition, the paper contains a short historical and critical sketch covering the contribution of various researchers to this problem.
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页码：553 / 604
页数：51
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