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Эта публикация цитируется в 11 научных статьях (всего в 11 статьях)
On the 70th birthday of J.Moser
Quadratic volume preserving maps: an extension of a result of Moser
K. E. Lenza, H. E. Lomelib, J. D. Meissc a Department of Mathematics and Statistics,
University of Minnesota,
Duluth, MN 55812
b Depeurtment of Mathematics,
Instituto Tecnológico Autónomo de México,
México, DF 01000
c Department of Applied Mathematics,
University of Colorado,
Boulder, CO 80309
Аннотация:
A natural generalization of the Henon map of the plane is a quadratic diffeomorphism that has a quadratic inverse. We study the case when these maps are volume preserving, which generalizes the the family of symplectic quadratic maps studied by Moser. In this paper we obtain a characterization of these maps for dimension four and less. In addition, we use Moser's result to construct a subfamily of in n dimensions.
Поступила в редакцию: 11.07.1998
Образец цитирования:
K. E. Lenz, H. E. Lomeli, J. D. Meiss, “Quadratic volume preserving maps: an extension of a result of Moser”, Regul. Chaotic Dyn., 3:3 (1998), 122–131
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd953 https://www.mathnet.ru/rus/rcd/v3/i3/p122
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