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arXiv:2410.11465 [math.DS]AbstractReferencesReviewsResources

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

Dmitry A. Filimonov, Yulij S. Ilyashenko

Published 2024-10-15Version 1

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.

Categories: math.DS
Subjects: 37G10, 58K45, 34C23
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