Laurent Polynomials and Superintegrable Maps
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Laurent Polynomials and Superintegrable Maps
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| Creator |
Hone, A.N.W.
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| Description |
This article is dedicated to the memory of Vadim Kuznetsov, and begins with some of the author's recollections of him. Thereafter, a brief review of Somos sequences is provided, with particular focus being made on the integrable structure of Somos-4 recurrences, and on the Laurent property. Subsequently a family of fourth-order recurrences that share the Laurent property are considered, which are equivalent to Poisson maps in four dimensions. Two of these maps turn out to be superintegrable, and their iteration furnishes infinitely many solutions of some associated quartic Diophantine equations.
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| Date |
2019-02-16T08:09:10Z
2019-02-16T08:09:10Z 2007 |
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| Type |
Article
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| Identifier |
Laurent Polynomials and Superintegrable Maps / A.N.W. Hone // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 68 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 11B37; 33E05; 37J35 http://dspace.nbuv.gov.ua/handle/123456789/147785 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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