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.
Citation:
Lenz K. E., Lomeli H. E., Meiss J. D., Quadratic volume preserving maps: an extension of a result of Moser, Regular and Chaotic Dynamics,
1998, Volume 3, Number 3,
pp. 122-131