On the Lyapunov numbers

Sergiĭ Kolyada; Oleksandr Rybak

Colloquium Mathematicae (2013)

  • Volume: 131, Issue: 2, page 209-218
  • ISSN: 0010-1354

Abstract

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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 → X. In particular, we prove that for a minimal topologically weakly mixing system all Lyapunov numbers are the same.

How to cite

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Sergiĭ Kolyada, and Oleksandr Rybak. "On the Lyapunov numbers." Colloquium Mathematicae 131.2 (2013): 209-218. <http://eudml.org/doc/283513>.

@article{SergiĭKolyada2013,
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 → X. In particular, we prove that for a minimal topologically weakly mixing system all Lyapunov numbers are the same.},
author = {Sergiĭ Kolyada, Oleksandr Rybak},
journal = {Colloquium Mathematicae},
keywords = {Lyapunov numbers; minimal map; sensitive dynamical system; topologically weakly mixing map},
language = {eng},
number = {2},
pages = {209-218},
title = {On the Lyapunov numbers},
url = {http://eudml.org/doc/283513},
volume = {131},
year = {2013},
}

TY - JOUR
AU - Sergiĭ Kolyada
AU - Oleksandr Rybak
TI - On the Lyapunov numbers
JO - Colloquium Mathematicae
PY - 2013
VL - 131
IS - 2
SP - 209
EP - 218
AB - 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.
LA - eng
KW - Lyapunov numbers; minimal map; sensitive dynamical system; topologically weakly mixing map
UR - http://eudml.org/doc/283513
ER -

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