Quadratic Volume Preserving Maps
chao-dyn
2010-06-22 v1 Chaotic Dynamics
Abstract
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.
Cite
@article{arxiv.chao-dyn/9706001,
title = {Quadratic Volume Preserving Maps},
author = {H. E. Lomeli and J. D. Meiss},
journal= {arXiv preprint arXiv:chao-dyn/9706001},
year = {2010}
}
Comments
Ams LaTeX file with 4 figures (figure 2 is gif, the others are ps)