On the Absence of an Additional Real-Analytic First Integral in the Problem of the Motion of a Dynamically Symmetric Heavy Rigid Body about a Fixed Point

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2024-10-14 DOI:10.1134/S0016266324030067

Sergei Ziglin

引用次数: 0

Abstract

We consider the problem of the motion of a dynamically symmetric heavy rigid body about a fixed point and give a detailed proof that the problem has no additional real-analytic first integral in all but the well-known classical cases.

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论动态对称重刚体绕定点运动问题中不存在附加实解析第一积分

我们考虑了动态对称重刚体绕定点运动的问题，并给出了详细的证明，即除了众所周知的经典情况外，该问题没有额外的实解析第一积分。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.