On the Lyapunov numbers
Tom 131 / 2013
Colloquium Mathematicum 131 (2013), 209-218
MSC: Primary 37B05; Secondary 54H20, 37B25.
DOI: 10.4064/cm131-2-4
Streszczenie
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.
