Gradient vector fields of codimension one on the 2-sphere with at most ten singular points

Autor:	Bilun, Svitlana, Hladysh, Bohdana, Prishlyak, Alexandr, Sinitsyn, Vladislav
Rok vydání:	2023
Předmět:	Mathematics - Dynamical Systems Mathematics - Geometric Topology 37c10 37c15 37c20 G.1.7
Druh dokumentu:	Working Paper
Popis:	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. Comment: 11 pages, 7 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.10929 Zobrazit plný text záznamu View this record from Arxiv