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One-Parameter Families of Smooth Interval Maps: Density of Hyperbolicity and Robust Chaos.

Пт, 12/04/2009 - 16:01 — SomNambul
Authors: Sebastian van Strien
Subjects: Dynamical Systems
link: http://arxiv.org/abs/0912.0656
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).