Specification and $\omega$-chaos in non-compact systems
Dynamical Systems
2023-05-26 v1
Abstract
In this paper, we demonstrate conditions under which a Lindel\"{o}f dynamical system exhibits -chaos. In particular, if a system exhibits a generalized version of the specification property and has at least three points with mutually separated orbit closures, then the system exhibits dense -chaos.
Keywords
Cite
@article{arxiv.2305.16168,
title = {Specification and $\omega$-chaos in non-compact systems},
author = {Cordell Hammon and Jonathan Meddaugh and Jasmin Mohn and Brian Raines},
journal= {arXiv preprint arXiv:2305.16168},
year = {2023}
}