English

On the Lyapunov numbers

Dynamical Systems 2013-03-26 v1

Abstract

We introduce and study the Lyapunov numbers -- quantitative measures of the sensitivity of a dynamical system (X,f)(X,f) given by a compact metric space XX and a continuous map f:XXf:X \to X. In particular, we prove that for a minimal topologically weakly mixing system all Lyapunov numbers are the same.

Keywords

Cite

@article{arxiv.1303.6198,
  title  = {On the Lyapunov numbers},
  author = {Sergiy Kolyada and Oleksandr Rybak},
  journal= {arXiv preprint arXiv:1303.6198},
  year   = {2013}
}
R2 v1 2026-06-21T23:47:49.916Z