Measures related to (∈, n)-complexity functions Conference Paper

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Overview

abstract

• The (ε, n)-complexity functions describe total instability of trajectories in dynamical systems. They reflect an ability of trajectories going through a Borel set to diverge on the distance ε during the time interval n. Behavior of the (ε, n)-complexity functions as n → ∞ is reflected in the properties of special measures. These measures are constructed as limits of atomic measures supported at points of (ε, n)-separated sets. We study such measures. In particular, we prove that they are invariant if the (ε, n)-complexity function grows subexponentially.

authors

• Afraimovitch Valentín
• Glebsky Lev

publication date

• 2008-01-01

published in

• Discrete and Continuous Dynamical Systems  Journal

Research

keywords

• Complexity functions; Separability; Topological entropy

Additional Document Info

start page

• 23

end page

• 34

volume

• 22

issue

• 1-2