{"title":"速度线性动力系统积分的存在性","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":"{\"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}","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}
The Existence of Integrals of Dynamical Systems Linear in the Velocities
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).
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