Global asymptotics of the sixth Painlev\'e equation in Okamoto's space
Exactly Solvable and Integrable Systems
2022-10-24 v2 Classical Analysis and ODEs
Abstract
We study dynamics of solutions in the initial value space of the sixth Painlev\'e equation as the independent variable approaches zero. Our main results describe the repeller set, show that the number of poles and zeroes of general solutions is unbounded, and that the complex limit set of each solution exists and is compact and connected.
Keywords
Cite
@article{arxiv.2203.16016,
title = {Global asymptotics of the sixth Painlev\'e equation in Okamoto's space},
author = {Viktoria Heu and Nalini Joshi and Milena Radnović},
journal= {arXiv preprint arXiv:2203.16016},
year = {2022}
}
Comments
39 pages. arXiv admin note: text overlap with arXiv:1801.07596