| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1892742 | Chaos, Solitons & Fractals | 2014 | 5 Pages |
Abstract
For a topological dynamical system (X,f)(X,f) we consider the structure of the set F(f)F(f) of asymptotic distributions of the distances between pairs of trajectories. If f has the weak specification property then F(f)F(f) is closed and convex, and it can contain all nondecreasing functions [0,diamX]→[0,1]. We discuss relations to distributional chaos.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
F. Balibrea, J. Smítal, M. Štefánková,