Singularity confinement as an integrability criterion
Mathematical Physics
2019-05-22 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
In this paper we present a rigorous method for deciding whether a birational three point mapping that has the singularity confinement property is integrable or not, based only on the structure of its (confined) singularity patterns. We also explain how the exact value of the dynamical degree for such a mapping may be deduced from the singularity patterns.
Cite
@article{arxiv.1810.02693,
title = {Singularity confinement as an integrability criterion},
author = {Takafumi Mase and Ralph Willox and Alfred Ramani and Basil Grammaticos},
journal= {arXiv preprint arXiv:1810.02693},
year = {2019}
}
Comments
24 pages, 2 figures