Structures of the flows with a unique singular point on the 2-dimensional disk
Dynamical Systems
2023-04-04 v1 Geometric Topology
Abstract
We investigate topological propeties of flows with one singular point and without closed orbits on the 2-dimensional disk. To classify such flows, destingueshed graph is used, which is a two-colored rooted tree imbedded in the plane. We construct a code of the flow and have found all possible structures of the flows with no more then 7 sepapratrices.
Cite
@article{arxiv.2304.00751,
title = {Structures of the flows with a unique singular point on the 2-dimensional disk},
author = {Alexandr Prishlyak and Serhii Stas},
journal= {arXiv preprint arXiv:2304.00751},
year = {2023}
}
Comments
9 pages, 5 figures