On the singularity structure of Kahan discretizations of a class of quadratic vector fields
Exactly Solvable and Integrable Systems
2024-01-01 v2 Mathematical Physics
math.MP
Abstract
We discuss the singularity structure of Kahan discretizations of a class of quadratric vector fields and provide a classification of the parameter values such that the corresponding Kahan map is integrable, in particular, admits an invariant pencil of elliptic curves.
Keywords
Cite
@article{arxiv.2003.01659,
title = {On the singularity structure of Kahan discretizations of a class of quadratic vector fields},
author = {René Zander},
journal= {arXiv preprint arXiv:2003.01659},
year = {2024}
}
Comments
19 pages, 4 figures, some minor changes