{"title":"The Existence of Integrals of Dynamical Systems Linear in the Velocities","authors":"C. Kilmister","doi":"10.1017/S0950184300003323","DOIUrl":null,"url":null,"abstract":"A dynamical system means here a system specified by generalised coordinates q α (α = 1, 2, …, n) and a Lagrangian L which is a quadratic polynomial in the generalised velocities, say (with a summation convention).","PeriodicalId":417997,"journal":{"name":"Edinburgh Mathematical Notes","volume":"2009 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1961-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Edinburgh Mathematical Notes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/S0950184300003323","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
A dynamical system means here a system specified by generalised coordinates q α (α = 1, 2, …, n) and a Lagrangian L which is a quadratic polynomial in the generalised velocities, say (with a summation convention).