Two Colored Diagrams for Central Configurations of the Planar Five-vortex Problem
Dynamical Systems
2024-11-18 v1
Abstract
We apply the singular sequence method to investigate the finiteness problem for stationary configurations of the planar five-vortex problem. The initial step of the singular sequence method involves identifying all two-colored diagrams. These diagrams represent potential scenarios where finiteness may fail. We determined all such diagrams for the planar five-vortex problem.
Cite
@article{arxiv.2411.09715,
title = {Two Colored Diagrams for Central Configurations of the Planar Five-vortex Problem},
author = {Xiang Yu and Shuqiang Zhu},
journal= {arXiv preprint arXiv:2411.09715},
year = {2024}
}
Comments
26 pages, 16 figures. arXiv admin note: substantial text overlap with arXiv:2103.11975