On the stable set of an analytic gradient flow
Classical Analysis and ODEs
2020-11-04 v2 Algebraic Geometry
Abstract
In this paper we study the stable set of the gradient flow associated with a critical point of an analytic function. In particular we present simple topological conditions which imply that this set contains an infinite family of trajectories, or has a non-empty interior.
Cite
@article{arxiv.2001.07192,
title = {On the stable set of an analytic gradient flow},
author = {Zbigniew Szafraniec},
journal= {arXiv preprint arXiv:2001.07192},
year = {2020}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1912.09149