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.

引用

页码：38 / 42

页数：5

共 13 条

[1] [Anonymous], 2011, Probabilistic Metric Spaces
[2] Babilonova Marta., 1999, Ann. Math. Sil, P33
[3] The three versions of distributional chaos
Balibrea, F
Smítal, J
Stefánková, M
[J]. CHAOS SOLITONS & FRACTALS, 2005, 23 (05) : 1581 - 1583
[4] A CHAOTIC CONTINUOUS MAP GENERATES ALL PROBABILITY-DISTRIBUTIONS
BALIBREA, F
SMITAL, J
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 180 (02) : 587 - 598
[5] Measure-theoretic chaos
Downarowicz, Tomasz
Lacroix, Yves
[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2014, 34 : 110 - 131
[6] Downarowicz T, 2014, P AM MATH SOC, V142, P137
[7] On almost specification and average shadowing properties
Kulczycki, Marcin
Kwietniak, Dominik
Oprocha, Piotr
[J]. FUNDAMENTA MATHEMATICAE, 2014, 224 (03) : 241 - 278
[8] Specification property and distributional chaos almost everywhere
Oprocha, Piotr
Stefankova, Marta
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (11) : 3931 - 3940
[9] MEASURES OF CHAOS AND A SPECTRAL DECOMPOSITION OF DYNAMICAL-SYSTEMS ON THE INTERVAL
SCHWEIZER, B
SMITAL, J
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 344 (02) : 737 - 754
[10] Schweizer B., 2000, Real Anal. Exchange, V26, P495

← 1 2 →