{"title":"QRT类型的多维映射","authors":"A. Fordy, P. Kassotakis","doi":"10.1088/0305-4470/39/34/012","DOIUrl":null,"url":null,"abstract":"We consider a class of multidimensional maps which naturally generalize the QRT map of the plane. Our 2n-dimensional maps are volume preserving and have n rational invariants, but we do not generally have a symplectic form. However, many specializations and reductions are integrable, some of which we present. Included in these are some new four-dimensional generalizations of the McMillan map.","PeriodicalId":87442,"journal":{"name":"Journal of physics A: Mathematical and general","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2006-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":"{\"title\":\"Multidimensional maps of QRT type\",\"authors\":\"A. Fordy, P. Kassotakis\",\"doi\":\"10.1088/0305-4470/39/34/012\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider a class of multidimensional maps which naturally generalize the QRT map of the plane. Our 2n-dimensional maps are volume preserving and have n rational invariants, but we do not generally have a symplectic form. However, many specializations and reductions are integrable, some of which we present. Included in these are some new four-dimensional generalizations of the McMillan map.\",\"PeriodicalId\":87442,\"journal\":{\"name\":\"Journal of physics A: Mathematical and general\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-08-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"12\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of physics A: Mathematical and general\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/0305-4470/39/34/012\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of physics A: Mathematical and general","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0305-4470/39/34/012","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We consider a class of multidimensional maps which naturally generalize the QRT map of the plane. Our 2n-dimensional maps are volume preserving and have n rational invariants, but we do not generally have a symplectic form. However, many specializations and reductions are integrable, some of which we present. Included in these are some new four-dimensional generalizations of the McMillan map.
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