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arXiv · 2304.00751

Structures of the flows with a unique singular point on the 2-dimensional disk

Alexandr Prishlyak·Serhii Stas
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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.

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Alexandr Prishlyak, Serhii Stas. 2023-04-03. Structures of the flows with a unique singular point on the 2-dimensional disk. https://arxiv.org/abs/2304.00751

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