On some notions of chaos in dimension zero

@article{RafałPikuła2007,
abstract = {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.},
author = {Rafał Pikuła},
journal = {Colloquium Mathematicae},
keywords = {Li–Yorke chaos; strong chaos; -chaos; topological entropy},
language = {eng},
number = {2},
pages = {167-177},
title = {On some notions of chaos in dimension zero},
url = {http://eudml.org/doc/284047},
volume = {107},
year = {2007},
}

TY - JOUR
AU - Rafał Pikuła
TI - On some notions of chaos in dimension zero
JO - Colloquium Mathematicae
PY - 2007
VL - 107
IS - 2
SP - 167
EP - 177
AB - 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.
LA - eng
KW - Li–Yorke chaos; strong chaos; -chaos; topological entropy
UR - http://eudml.org/doc/284047
ER -