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arXiv:1303.6198 [math.DS]AbstractReferencesReviewsResources

On the Lyapunov numbers

Sergiy Kolyada, Oleksandr Rybak

Published 2013-03-25Version 1

We introduce and study the Lyapunov numbers -- quantitative measures of the sensitivity of a dynamical system $(X,f)$ given by a compact metric space $X$ and a continuous map $f:X \to X$. In particular, we prove that for a minimal topologically weakly mixing system all Lyapunov numbers are the same.

Categories: math.DS
Subjects: 37B05, 54H20, 37B25
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