Bi-rational maps in four dimensions with two invariants
Exactly Solvable and Integrable Systems
2020-04-22 v1 Mathematical Physics
math.MP
Abstract
In this paper we present a class of four-dimensional bi-rational maps with two invariants satisfying certain constraints on degrees. We discuss the integrability properties of these maps from the point of view of degree growth and Liouville integrability.
Keywords
Cite
@article{arxiv.1907.00746,
title = {Bi-rational maps in four dimensions with two invariants},
author = {G. Gubbiotti and N. Joshi and D. T. Tran and C-M. Viallet},
journal= {arXiv preprint arXiv:1907.00746},
year = {2020}
}
Comments
26 pages. arXiv admin note: text overlap with arXiv:1808.04942