Integrable Maps which Preserve Functions with Symmetries
Mathematical Physics
2013-07-02 v3 math.MP
Exactly Solvable and Integrable Systems
Abstract
We consider maps which preserve functions which are built out of the invariants of some simple vector fields. We give a reduction procedure, which can be used to derive commuting maps of the plane, which preserve the same symplectic form and first integral. We show how our method can be applied to some maps which have recently appeared in the context of Yang-Baxter maps.
Cite
@article{arxiv.1301.1927,
title = {Integrable Maps which Preserve Functions with Symmetries},
author = {Allan P Fordy and Pavlos Kassotakis},
journal= {arXiv preprint arXiv:1301.1927},
year = {2013}
}
Comments
13 pages. Some minor errors corrected. This is the final version, as published in the journal