Singular Points in Generic Two-Parameter Families of Vector Fields on a 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 at a complete study of global bifurcations in two-parameter families of vector fields on the two-sphere.
Authors
- Yu. Ilyashenko (ORCID: https://orcid.org/0000-0003-1087-5903)
- D. A. Filimonov (ORCID: https://orcid.org/0000-0002-2984-7243)
Institutions
- National Research University Higher School of Economics (RU)
- Independent University of Moscow (RU)
Publication Details
- Journal
- Regular and Chaotic Dynamics
- Published
- 2025-04-01
- DOI
- https://doi.org/10.1134/s1560354725020066
- Citations
- 1
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 3.69