{"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}
引用次数: 7
Abstract
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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