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arXiv · 1303.6198

On the Lyapunov numbers

Sergiy Kolyada·Oleksandr Rybak
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Abstract

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.

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Sergiy Kolyada, Oleksandr Rybak. 2013-03-25. On the Lyapunov numbers. https://arxiv.org/abs/1303.6198

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