{"title":"带有环的动量图的简化动力学","authors":"Ulrike Scheerer , Claudia Wulff","doi":"10.1016/S0764-4442(01)02171-1","DOIUrl":null,"url":null,"abstract":"<div><p>We generalize the results on the explicit form of Hamilton's equations in local coordinates near a group orbit of Roberts, Wulff and Lamb to local momentum maps with cocycles. We use these equations to study the dynamics near relative equilibria.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 11","pages":"Pages 999-1004"},"PeriodicalIF":0.0000,"publicationDate":"2001-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02171-1","citationCount":"7","resultStr":"{\"title\":\"Reduced dynamics for momentum maps with cocycles\",\"authors\":\"Ulrike Scheerer , Claudia Wulff\",\"doi\":\"10.1016/S0764-4442(01)02171-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We generalize the results on the explicit form of Hamilton's equations in local coordinates near a group orbit of Roberts, Wulff and Lamb to local momentum maps with cocycles. We use these equations to study the dynamics near relative equilibria.</p></div>\",\"PeriodicalId\":100300,\"journal\":{\"name\":\"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics\",\"volume\":\"333 11\",\"pages\":\"Pages 999-1004\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02171-1\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0764444201021711\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0764444201021711","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We generalize the results on the explicit form of Hamilton's equations in local coordinates near a group orbit of Roberts, Wulff and Lamb to local momentum maps with cocycles. We use these equations to study the dynamics near relative equilibria.
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