A+ CATEGORY SCIENTIFIC UNIT

On some notions of chaos in dimension zero

Volume 107 / 2007

Rafał Piku/la Colloquium Mathematicum 107 (2007), 167-177 MSC: 37B10, 37B40, 37B05. DOI: 10.4064/cm107-2-1

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 $\omega $-chaos does not imply Li–Yorke chaos.

Authors

  • Rafał Piku/laDepartment of Mathematics
    Ohio State University
    100 Mathematics Building, 231 West 18th Avenue
    Columbus, OH 43210-1174, U.S.A.
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image