带转子和分级减速的刚体

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Reviews in Mathematical Physics Pub Date : 2021-10-21 DOI:10.1142/s0129055x22300060

Miguel Angel Berbel, M. L'opez

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引用次数: 0

摘要

带转子的刚体是一个广泛存在的机械系统，它以直积SO（3）×S×S×S为模型，在温和的假设下是系统的对称群。在本文中，作者提出并比较了不同的拉格朗日约简程序：全群的欧拉-庞加莱约简和不同阶或使用不同连接的阶段的约简。该论述跟踪了方程的等价性以及相应的守恒定律。2020年数学学科分类：小学70E05；二级37J51、70G65。

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Rigid Body with Rotors and Reduction by Stages

Rigid body with rotors is a widespread mechanical system modeled after the direct product SO(3)×S×S×S, which under mild assumptions is the symmetry group of the system. In this paper, the authors present and compare different Lagrangian reduction procedures: Euler-Poincaré reduction by the whole group and reduction by stages in different orders or using different connections. The exposition keeps track of the equivalence of equations as well as corresponding conservation laws. Mathematics Subject Classification 2020: Primary 70E05; Secondary 37J51, 70G65.

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来源期刊

Reviews in Mathematical Physics 物理-物理：数学物理

CiteScore

3.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Reviews in Mathematical Physics fills the need for a review journal in the field, but also accepts original research papers of high quality. The review papers - introductory and survey papers - are of relevance not only to mathematical physicists, but also to mathematicians and theoretical physicists interested in interdisciplinary topics. Original research papers are not subject to page limitations provided they are of importance to this readership. It is desirable that such papers have an expository part understandable to a wider readership than experts. Papers with the character of a scientific letter are usually not suitable for RMP.