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 → X. In particular, we prove that for a minimal topologically weakly mixing system all Lyapunov numbers are the same.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm131-2-4,
author = {Sergi\u\i\ Kolyada and Oleksandr Rybak},
title = {On the Lyapunov numbers},
journal = {Colloquium Mathematicae},
volume = {131},
year = {2013},
pages = {209-218},
zbl = {1283.37012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm131-2-4}
}
Sergiĭ Kolyada; Oleksandr Rybak. On the Lyapunov numbers. Colloquium Mathematicae, Tome 131 (2013) pp. 209-218. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm131-2-4/