Distributionally chaotic maps are $C^0$-dense
Dynamical Systems
2019-04-02 v1
Abstract
We prove that the set of maps which exhibit distributional chaos of type 1 (DC1) is -dense in the space of continuous self-maps of given any compact topological manifold (possibly with boundary).
Cite
@article{arxiv.1904.00366,
title = {Distributionally chaotic maps are $C^0$-dense},
author = {Noriaki Kawaguchi},
journal= {arXiv preprint arXiv:1904.00366},
year = {2019}
}