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Regular and Chaotic Dynamics, 2025, Volume 30, Issue 2, Pages 279–290
DOI: https://doi.org/10.1134/S1560354725020066 (Mi rcd1307) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Singular Points in Generic Two-Parameter Families of Vector Fields on a 2-Manifold

Dmitry A. Filimonova, Yulij S. Ilyashenkob

a HSE University, ul. Myasnitskaya 20, 101000 Moscow, Russia
b IUM, per. Bolshoy Vlasyevskiy 11, 119002 Moscow, Russia
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DOI: https://doi.org/10.1134/S1560354725020066
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 at a complete study of global bifurcations in two-parameter families of vector fields on the two-sphere.
Keywords: singularities of vector fields, finite-parameter families of vector fields
Received: 14.09.2024
Accepted: 08.02.2025
Document Type: Article
MSC: 37G10, 58K45, 34C23
Language: English
Citation: Dmitry A. Filimonov, Yulij S. Ilyashenko, “Singular Points in Generic Two-Parameter Families of Vector Fields on a 2-Manifold”, Regul. Chaotic Dyn., 30:2 (2025), 279–290
Citation in format AMSBIB
\Bibitem{FilIly25}
\by Dmitry A. Filimonov, Yulij S. Ilyashenko
\paper Singular Points in Generic Two-Parameter Families of Vector Fields on a 2-Manifold
\jour Regul. Chaotic Dyn.
\yr 2025
\vol 30
\issue 2
\pages 279--290
\mathnet{http://mi.mathnet.ru/rcd1307}
\crossref{https://doi.org/10.1134/S1560354725020066}
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