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Regular and Chaotic Dynamics, 1998, Volume 3, Issue 3, Pages 122–131
DOI: https://doi.org/10.1070/RD1998v003n03ABEH000085 (Mi rcd953) 		 
This article is cited in 11 scientific papers (total in 11 papers)

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
Citations (11)
DOI: https://doi.org/10.1070/RD1998v003n03ABEH000085
Abstract: 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.
Received: 11.07.1998
Bibliographic databases:
Document Type: Article
MSC: 34C23, 34C35, 58F08
Language: English
Citation: 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
Citation in format AMSBIB
\Bibitem{LenLomMei98}
\by K. E. Lenz, H. E. Lomeli, J.~D.~Meiss
\paper Quadratic volume preserving maps: an extension of a result of Moser
\jour Regul. Chaotic Dyn.
\yr 1998
\vol 3
\issue 3
\pages 122--131
\mathnet{http://mi.mathnet.ru/rcd953}
\crossref{https://doi.org/10.1070/RD1998v003n03ABEH000085}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1704974}
\zmath{https://zbmath.org/?q=an:0997.37028}
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    • This publication is cited in the following 11 articles:
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