{"title":"Symmetries and integrability","authors":"B. Jovanović","doi":"10.2298/PIM0898001J","DOIUrl":null,"url":null,"abstract":"This is a survey on finite-dimensional integrable dynamical sys- tems related to Hamiltonian G-actions. Within a framework of noncommu- tative integrability we study integrability of G-invariant systems, collective motions and reduced integrability. We also consider reductions of the Hamil- tonian flows restricted to their invariant submanifolds generalizing classical Hess-Appel'rot case of a heavy rigid body motion.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"66 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"100","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Publications De L'institut Mathematique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/PIM0898001J","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 100
Abstract
This is a survey on finite-dimensional integrable dynamical sys- tems related to Hamiltonian G-actions. Within a framework of noncommu- tative integrability we study integrability of G-invariant systems, collective motions and reduced integrability. We also consider reductions of the Hamil- tonian flows restricted to their invariant submanifolds generalizing classical Hess-Appel'rot case of a heavy rigid body motion.
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