{"title":"Birkhoffian系统的Noether理论*","authors":"Mei Feng-Xiangc","doi":"10.1360/YA1993-36-12-1456","DOIUrl":null,"url":null,"abstract":"By using the generalized quasi-symmetry of the infinitesimal transformation of the transformation group G r , the Noether's theory for Birkhoffian systems (including Noether's theorem and its inverse) has been established. An example is given.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"46 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"41","resultStr":"{\"title\":\"The Noether's Theory of Birkhoffian Systems*\",\"authors\":\"Mei Feng-Xiangc\",\"doi\":\"10.1360/YA1993-36-12-1456\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"By using the generalized quasi-symmetry of the infinitesimal transformation of the transformation group G r , the Noether's theory for Birkhoffian systems (including Noether's theorem and its inverse) has been established. An example is given.\",\"PeriodicalId\":256661,\"journal\":{\"name\":\"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science\",\"volume\":\"46 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-12-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"41\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1360/YA1993-36-12-1456\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1360/YA1993-36-12-1456","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
By using the generalized quasi-symmetry of the infinitesimal transformation of the transformation group G r , the Noether's theory for Birkhoffian systems (including Noether's theorem and its inverse) has been established. An example is given.