Attractors with non-invariant interior
Dynamical Systems
2023-05-16 v1
Abstract
We construct an open set of endomorphisms of an arbitrary two-dimensional manifold which have attractors and non-wandering sets with non-invariant interior. This is a notable contrast to the properties of diffeomorphisms, where the interior must be invariant.
Cite
@article{arxiv.2305.08582,
title = {Attractors with non-invariant interior},
author = {Stanislav Minkov and Alexey Okunev and Ivan Shilin},
journal= {arXiv preprint arXiv:2305.08582},
year = {2023}
}
Comments
10 pages