{"title":"The construction of an energy function for three-dimensional cascades with a two-dimensional expanding attractor","authors":"G. Vyacheslav, Pochinka Olga, M. Nosková","doi":"10.1090/MOSC/249","DOIUrl":null,"url":null,"abstract":". In this paper we establish the existence of an energy function for structurally stable diffeomorphisms of closed three-dimensional manifolds whose nonwan-dering set contains a two-dimensional expanding attractor.","PeriodicalId":37924,"journal":{"name":"Transactions of the Moscow Mathematical Society","volume":"76 1","pages":"237-249"},"PeriodicalIF":0.0000,"publicationDate":"2015-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1090/MOSC/249","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transactions of the Moscow Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/MOSC/249","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 6
Abstract
. In this paper we establish the existence of an energy function for structurally stable diffeomorphisms of closed three-dimensional manifolds whose nonwan-dering set contains a two-dimensional expanding attractor.
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