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

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-spher...

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Bibliographic Details
Main Authors Filimonov, Dmitry A, Ilyashenko, Yulij S
Format Journal Article
LanguageEnglish
Published 15.10.2024
Subjects
Mathematics - Dynamical Systems
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Summary: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.
DOI:10.48550/arxiv.2410.11465