A Lipschitz version of the $\lambda$-Lemma and a characterization of homoclinic and heteroclinic orbits
Analysis of PDEs
2021-09-16 v4 Dynamical Systems
Abstract
In this paper we consider finite dimensional dynamical systems generated by a Lipschitz function. We prove a version of the Whitney's Extension Theorem on compact manifolds to obtain a version of the well-known Lambda Lemma for Lipschitz functions. The notions of Lipschitz transversality and hyperbolicity are investigated in the context of finite dimension with a norm weaker than -norm and stronger than -norm.
Keywords
Cite
@article{arxiv.2002.06615,
title = {A Lipschitz version of the $\lambda$-Lemma and a characterization of homoclinic and heteroclinic orbits},
author = {Leonardo Pires and Giuliano G. La Guardia},
journal= {arXiv preprint arXiv:2002.06615},
year = {2021}
}