On a class of third order mappings with two rational invariants
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
A novel family of integrable third order maps is presented. Each map possesses, by construction, a pair of rational invariants and a commuting map from the same class. The 3-dimensional invariant curve is parametrized, in general, by an elliptic curve.
Cite
@article{arxiv.nlin/0606056,
title = {On a class of third order mappings with two rational invariants},
author = {V. E. Adler},
journal= {arXiv preprint arXiv:nlin/0606056},
year = {2007}
}
Comments
9 pages, 6 figures