We compare four different notions of chaos in zero-dimensional systems (subshifts). We provide examples showing that in that case positive topological entropy does not imply strong chaos, strong chaos does not imply complicated dynamics at all, and ω-chaos does not imply Li-Yorke chaos.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm107-2-1,
author = {Rafa\l\ Piku\l a},
title = {On some notions of chaos in dimension zero},
journal = {Colloquium Mathematicae},
volume = {107},
year = {2007},
pages = {167-177},
zbl = {1130.37327},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm107-2-1}
}
Rafał Pikuła. On some notions of chaos in dimension zero. Colloquium Mathematicae, Tome 107 (2007) pp. 167-177. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm107-2-1/