Lipschitz perturbations of Morse-Smale semigroups
Analysis of PDEs
2017-05-30 v1
Abstract
In this paper we will deal with Lipschitz continuous perturbations of Morse-Smale semigroups with only equilibrium points as critical elements. We study the behavior of the structure of equilibrium points and their connections when subjected to non-differentiable perturbations. To this end we define more general notions of \emph{hyperbolicity} and \emph{transversality}, which do not require differentiability.
Keywords
Cite
@article{arxiv.1705.09947,
title = {Lipschitz perturbations of Morse-Smale semigroups},
author = {M. C. Bortolan and C. A. E. N. Cardoso and A. N. Carvalho and L. Pires},
journal= {arXiv preprint arXiv:1705.09947},
year = {2017}
}