One-Parameter Families of Smooth Interval Maps: Density of Hyperbolicity and Robust Chaos
Dynamical Systems
2009-12-04 v1
Abstract
In this note we will discuss the notion of robust chaos, and show that (i) there are natural one-parameter families with robust chaos and (ii) hyperbolicity is dense within generic one-parameter families (and so these families are not robustly chaotic).
Keywords
Cite
@article{arxiv.0912.0656,
title = {One-Parameter Families of Smooth Interval Maps: Density of Hyperbolicity and Robust Chaos},
author = {Sebastian van Strien},
journal= {arXiv preprint arXiv:0912.0656},
year = {2009}
}