Chaos on the Multi-Dimensional Cube
Dynamical Systems
2019-08-30 v1
Abstract
In this article, we show that a chaotic behavior can be found on a cube with arbitrary finite dimension. That is, the cube is a quasi-minimal set with Poincare chaos. Moreover, the dynamics is shown to be Devaney and Li-Yorke chaotic. It can be characterized as a domain-structured chaos for an associated map. Previously, this was known only for unit section and for Devaney and Li-Yorke chaos.
Keywords
Cite
@article{arxiv.1908.11194,
title = {Chaos on the Multi-Dimensional Cube},
author = {Marat Akhmet and Ejaily Milad Alejaily},
journal= {arXiv preprint arXiv:1908.11194},
year = {2019}
}