Structure of the codimesion one gradient flows with at most six singular points on the M\'obius strip

Autor:	Loseva, Maria, Prishlyak, Alexandr, Semenovych, Kateryna, Volianiuk, Yuliia
Rok vydání:	2024
Předmět:	Mathematics - Dynamical Systems 37c10 37c15 37c20 G.1.7
Druh dokumentu:	Working Paper
Popis:	We describe all possible topological structures of Morse flows and typical one-parametric gradient bifurcation on the M\"obius strip in the case that the number of singular point of flows is at most six. To describe structures, we use the separatrix diagrams of flows. The saddle-node bifurcation is specified by selecting a separatrix in the diagram of the Morse flow befor the bifurcation and the saddle connection is specified by a separatrix, which connect two saddles on the diagram. Comment: 14 pages, 14 figures. arXiv admin note: substantial text overlap with arXiv:2303.14975
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.07233 Zobrazit plný text záznamu View this record from Arxiv