Inverse limits as attractors in parameterized families
Dynamical Systems
2014-02-26 v1
Abstract
We show how a parameterized family of maps of the spine of a manifold can be used to construct a family of homeomorphisms of the ambient manifold which have the inverse limits of the spine maps as global attractors. We describe applications to unimodal families of interval maps, to rotation sets, and to the standard family of circle maps.
Keywords
Cite
@article{arxiv.1205.5660,
title = {Inverse limits as attractors in parameterized families},
author = {Philip Boyland and Andre' de Carvalho and Toby Hall},
journal= {arXiv preprint arXiv:1205.5660},
year = {2014}
}
Comments
11 pages, 1 figure