莫比乌斯带上至多六个奇点的余维一梯度流的结构
动力系统
2024-04-12 v1
摘要
我们描述了在莫比乌斯带上奇点个数至多为六的情况下，Morse流和典型单参数梯度分岔的所有可能拓扑结构。为了描述这些结构，我们使用了流的分离线图。鞍结分岔通过在分岔前Morse流图中选择一条分离线来指定，而鞍连接则由图中连接两个鞍点的一条分离线指定。
引用
@article{arxiv.2404.07233,
title = {Structure of the codimesion one gradient flows with at most six singular points on the M\"obius strip},
author = {Maria Loseva and Alexandr Prishlyak and Kateryna Semenovych and Yuliia Volianiuk},
journal= {arXiv preprint arXiv:2404.07233},
year = {2024}
}
备注
14 pages, 14 figures. arXiv admin note: substantial text overlap with arXiv:2303.14975