Dynamical systems generating large sets of probability distribution functions

F. Balibrea, J. Smítal and M. Štefánková

Chaos, Solitons & Fractals, 2014, vol. 67, issue C, 38-42

Abstract: For a topological dynamical system (X,f) we consider the structure of the set F(f) of asymptotic distributions of the distances between pairs of trajectories. If f has the weak specification property then F(f) is closed and convex, and it can contain all nondecreasing functions [0,diamX]→[0,1]. We discuss relations to distributional chaos.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:67:y:2014:i:c:p:38-42

DOI: 10.1016/j.chaos.2014.06.013

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