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arXiv · 2410.11465

Singular points in generic two-parameter families of vector fields on 2-manifold

Dmitry A. Filimonov·Yulij S. Ilyashenko
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Abstract

In this paper, we give a full description of all possible singular points that occur in generic 2-parameter families of vector fields on compact 2-manifolds. This is a part of a large project aimed to a complete study of global bifurcations in two-parameter families of vector fields on the two-sphere.

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Dmitry A. Filimonov, Yulij S. Ilyashenko. 2024-10-15. Singular points in generic two-parameter families of vector fields on 2-manifold. https://arxiv.org/abs/2410.11465

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