Local models for smooth vector fields of the line
Dynamical Systems
2024-07-23 v1 Differential Geometry
Abstract
We present the local classification of singularities of smooth vector fields on the line, with respect to the equivalence relation of --conjugacy. Along the way, we recall the analogous classification, up to and conjugacy. We also give the transversal unfoldings of the corresponding normal forms and treat the case where the changes of coordinates are tangent to the identity. Thus, a fairly complete description of the --d case is achieved.
Cite
@article{arxiv.2407.15091,
title = {Local models for smooth vector fields of the line},
author = {Stavros Anastassiou},
journal= {arXiv preprint arXiv:2407.15091},
year = {2024}
}