On the Lyapunov numbers

• Autorzy: Sergiĭ Kolyada , Oleksandr Rybak
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54H20: Topological dynamics
• 37B25: Lyapunov functions and stability; attractors, repellers
• 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2013
• Tom: 131
• Numer: 2
• Strony: 209-218

Daty

wydano

2013

Twórcy

autor

Sergiĭ Kolyada

• Institute of Mathematics, NASU, Tereshchenkivs'ka 3, 01601 Kyiv, Ukraine

autor

Oleksandr Rybak

• Institute of Mathematics, NASU, Tereshchenkivs'ka 3, 01601 Kyiv, Ukraine

Identyfikatory

DOI

10.4064/cm131-2-4