On some notions of chaos in dimension zero
Tom 107 / 2007
Colloquium Mathematicum 107 (2007), 167-177
MSC: 37B10, 37B40, 37B05.
DOI: 10.4064/cm107-2-1
Streszczenie
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 $\omega $-chaos does not imply Li–Yorke chaos.
