Structure of Morse flows with at most six singular points on the torus with a hole
Dynamical Systems
2024-04-04 v1 Geometric Topology
Abstract
We describe all possible topological structures of Morse flows and typical gradient saddle-nod bifurcation of flows on the 2-dimensional torus with a hole in the case that the number of singular point of flows is at most six. To describe structures, we use separatrix diagrams of flows. The saddle-node bifurcation is specified by selecting a separatrix in the separatrix diagram of the flow befor the bifurcation.
Keywords
Cite
@article{arxiv.2404.02223,
title = {Structure of Morse flows with at most six singular points on the torus with a hole},
author = {Maria Loseva and Alexandr Prishlyak and Kateryna Semenovych and Dariia Synieok},
journal= {arXiv preprint arXiv:2404.02223},
year = {2024}
}
Comments
9 pages, 5 figures