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
{"title":"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","authors":"Sergei Ziglin","doi":"10.1134/S0016266324030067","DOIUrl":null,"url":null,"abstract":"<p> 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. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2024-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Functional Analysis and Its Applications","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1134/S0016266324030067","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
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.
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
