On some notions of chaos in dimension zero

• Autorzy: Rafał Pikuła
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37B40: Topological entropy
• 37B10: Symbolic dynamics
• 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2007
• Tom: 107
• Numer: 2
• Strony: 167-177

Daty

wydano

2007

Twórcy

autor

Rafał Pikuła

• Department of Mathematics, Ohio State University, 100 Mathematics Building, 231 West 18th Avenue, Columbus, OH 43210-1174, U.S.A.

Identyfikatory

DOI

10.4064/cm107-2-1