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arXiv · 2303.10929

Gradient vector fields of codimension one on the 2-sphere with at most ten singular points

Svitlana Bilun·Bohdana Hladysh·Alexandr Prishlyak·Vladislav Sinitsyn
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Abstract

We describe all possible topological structures of codimension one gradient vector fields on the shpere with at most ten singular points. To describe structures, we use a graph whose edges are one-dimensional stable manifolds. The saddle-node singularity is specified by selecting a pair of vertices-edge or edge-face, and the saddle connection is specified by a T-vertex.

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Svitlana Bilun, Bohdana Hladysh, Alexandr Prishlyak, Vladislav Sinitsyn. 2023-03-20. Gradient vector fields of codimension one on the 2-sphere with at most ten singular points. https://arxiv.org/abs/2303.10929

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