Dynamical systems generating large sets of probability distribution functions

被引：2
|
作者：
Balibrea, F. [1 ]
Smital, J. [2 ]
Stefankova, M. [2 ]
机构：
[1] Univ Murcia, Dept Matemat, E-30100 Murcia, Spain
[2] Silesian Univ, Math Inst, Opava 74601, Czech Republic
来源：
CHAOS SOLITONS & FRACTALS | 2014年 / 67卷
关键词：
SPECIFICATION; CHAOS;
D O I：
10.1016/j.chaos.2014.06.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. (C) 2014 Elsevier Ltd. All rights reserved.
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页码：38 / 42
页数：5
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