Gradient vector fields of codimension one on the 2-sphere with at most ten singular points
Dynamical Systems
2023-03-21 v1 Geometric Topology
Abstract
We describe all possible topological structures of codimension one gradient vector fields on the shpere with at most ten singular points. To describe structures, we use a graph whose edges are one-dimensional stable manifolds. The saddle-node singularity is specified by selecting a pair of vertices-edge or edge-face, and the saddle connection is specified by a T-vertex.
Cite
@article{arxiv.2303.10929,
title = {Gradient vector fields of codimension one on the 2-sphere with at most ten singular points},
author = {Svitlana Bilun and Bohdana Hladysh and Alexandr Prishlyak and Vladislav Sinitsyn},
journal= {arXiv preprint arXiv:2303.10929},
year = {2023}
}
Comments
11 pages, 7 figures