三维尖点-折叠奇点及其开折的规范形
动力系统
2025-02-06 v2
摘要
在本文中，我们获得了呈现所谓尖点-折叠奇点的三维分段光滑向量场的 32 个规范形。所有这些规范形在拓扑上互不相同，并汇集了奇点的主要拓扑方面，描述为所涉及的切触类型以及滑动、逃逸和穿越区域的位置。此外，给出了这些规范形的单参数分支，并获得了拓扑等价的分段光滑向量场。
引用
@article{arxiv.2210.10518,
title = {Canonical forms of 3d cusp-fold singularities and its unfoldings},
author = {Tiago Carvalho and Jackson Cunha and Bruno Rodrigues Freita},
journal= {arXiv preprint arXiv:2210.10518},
year = {2025}
}
备注
The article was submitted without the explicit consent of all co-authors. We are taking steps to address the issue and ensure that any future submission complies with the approval of all parties involved