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ЖУРНАЛЫ // Regular and Chaotic Dynamics // Архив

Regul. Chaotic Dyn., 2025, том 30, выпуск 2, страницы 279–290 (Mi rcd1307)

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

Аннотация: 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.

Ключевые слова: singularities of vector fields, finite-parameter families of vector fields

MSC: 37G10, 58K45, 34C23

Поступила в редакцию: 14.09.2024
Принята в печать: 08.02.2025

Язык публикации: английский

DOI: 10.1134/S1560354725020066



© МИАН, 2025