QRT Map on a Bielliptic Surface
Exactly Solvable and Integrable Systems
2024-10-23 v2 Mathematical Physics
Classical Analysis and ODEs
Dynamical Systems
math.MP
Abstract
The family of mappings of the plane possessing a biquadratic invariant, which is known collectively as QRT maps, is composed of two involutions, one preserving a vertical shift and the other preserving a horizontal shift in the plane. In this paper, we extend the map by replacing each shift by the group operation on each of two families of elliptic curves, whose product forms a bielliptic surface.
Cite
@article{arxiv.2410.14327,
title = {QRT Map on a Bielliptic Surface},
author = {Nalini Joshi and Frank W. Nijhoff and Allan Steel},
journal= {arXiv preprint arXiv:2410.14327},
year = {2024}
}
Comments
17 pages; typos corrected