Singular points in generic two-parameter families of vector fields on 2-manifold
Dynamical Systems
2025-03-19 v2
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 to a complete study of global bifurcations in two-parameter families of vector fields on the two-sphere.
Keywords
Cite
@article{arxiv.2410.11465,
title = {Singular points in generic two-parameter families of vector fields on 2-manifold},
author = {Dmitry A. Filimonov and Yulij S. Ilyashenko},
journal= {arXiv preprint arXiv:2410.11465},
year = {2025}
}