TITLE

TOPOLOGICAL ENTROPY AND DISTRIBUTIONAL CHAOS

AUTHOR(S)
Smítal, Jaroslav
PUB. DATE
June 2006
SOURCE
Real Analysis Exchange;Jun2006 Conference, Vol. 32, p61
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The article examines whether there are implications between positive topological entropy and distributional chaos versions DC2 or DC3. It cites the introduction of the notion of distributional chaos for continuous maps of the interval [9] in 1994. It states that the three versions of distributional chaos, DC1, DC2, or DC3, appeared when there is a pair of points (x, y) in M. The authors believe that positive topological entropy implies DC2 for a continuous map of a compact metric space.
ACCESSION #
25806279

 

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