Quadratic Volume preserving maps Hector E. Lomel

We study quadratic, volume preserving dieomorphismswhose inverse is also quadratic. Such maps generalize the Henon area preserving map and the family of symplectic quadratic maps studied by Moser. In particular, we investigate a family of quadratic volume preserving maps in three space for which we nd a normal form and study invariant sets. We also give an alternative proof of a theorem by Moser classifying quadratic symplectic maps. AMS classication scheme numbers: 34C20,34C35,34C37,58F05,70H99