A construction of almost automorphic minimal sets
Dynamical Systems
2013-02-14 v1
Abstract
We describe a general procedure to construct topological extensions of given skew product maps with one-dimensional fibres, by blowing up a countable number of single points to vertical segments. This allows to produce various examples of unusual dynamics, including almost automorphic minimal sets of almost periodically forced systems, point-distal but non-distal homeomorpisms of the torus (as first constructed by Rees) or minimal sets of quasiperiodically forced interval maps which are not filled-in.
Cite
@article{arxiv.1302.3024,
title = {A construction of almost automorphic minimal sets},
author = {Roman Hric and Tobias Jäger},
journal= {arXiv preprint arXiv:1302.3024},
year = {2013}
}
Comments
16 pages, 4 figures