Geodesic
On the Lyapunov numbers
Sergiĭ Kolyada1 ; Oleksandr Rybak1
1Institute of Mathematics NASU Tereshchenkivs'ka 3 01601 Kyiv, Ukraine
Colloquium Mathematicum, Tome 131 (2013) no. 2, pp. 209-218
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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.
DOI : 10.4064/cm131-2-4
Keywords: introduce study lyapunov numbers quantitative measures sensitivity dynamical system given compact metric space continuous map particular prove minimal topologically weakly mixing system lyapunov numbers

Sergiĭ Kolyada  1   ; Oleksandr Rybak  1

1 Institute of Mathematics NASU Tereshchenkivs'ka 3 01601 Kyiv, Ukraine 
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Sergiĭ Kolyada; Oleksandr Rybak. On the Lyapunov numbers. Colloquium Mathematicum, Tome 131 (2013) no. 2, pp. 209-218. doi: 10.4064/cm131-2-4

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