Dmitry Filimonov

Address: ul. Myasnitskaya 20, 101000 Moscow, Russia

E-mail: mityafil@gmail.com

University: HSE University

Publications:

Filimonov D. A., Ilyashenko Y. S.

Singular Points in Generic Two-Parameter Families of Vector Fields on a 2-Manifold
2025, vol. 30, no. 2, pp. 279-290

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

Citation: Filimonov D. A., Ilyashenko Y. S., Singular Points in Generic Two-Parameter Families of Vector Fields on a 2-Manifold, Regular and Chaotic Dynamics, 2025, vol. 30, no. 2, pp. 279-290

DOI:10.1134/S1560354725020066

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