Quadratic Volume Preserving Maps

Details Quadratic Volume Preserving Maps Quadratic Volume Preserving Maps

1997-05-30

arxiv.org/abs/chao-dyn/9706001v1

Nonlinearity 11(3): 557-574 (1998)

Nonlinear Sciences

Chaotic Dynamics

Ams LaTeX file with 4 figures (figure 2 is gif, the others are ps)

Scientific paper

10.1088/0951-7715/11/3/009

We study quadratic, volume preserving diffeomorphisms whose 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 find a normal form and study invariant sets. We also give an alternative proof of a theorem by Moser classifying quadratic symplectic maps.

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