One-parameter families of smooth interval maps: Density of hyperbolicity and robust chaos-Reference-Cited by-同舟云学术

One-parameter families of smooth interval maps: Density of hyperbolicity and robust chaos

Published:2010-06-22 Issue:12 Volume:138 Page:4443-4446
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

van Strien Sebastian

Abstract

In this paper we will discuss the notion of robust chaos and show that (i) there are natural one-parameter families of interval maps with robust chaos and (ii) hyperbolicity is dense within generic one-parameter families (and so these families are not robustly chaotic).

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2010-138-12/S0002-9939-2010-10446-X/S0002-9939-2010-10446-X.pdf

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