Title
The Mean Sensitivity And Mean Equicontinuity In Uniform Spaces
Abstract
Some characteristics of mean sensitivity and Banach mean sensitivity using Fustenberg families and inverse limit dynamical systems are obtained. The iterated invariance of mean sensitivity and Banach mean sensitivity are proved. Applying these results, the notion of mean sensitivity and Banach mean sensitivity is extended to uniform spaces. It is proved that a point-transitive dynamical system in a Hausdorff uniform space is either almost (Banach) mean equicontinuous or (Banach) mean sensitive.
Year
DOI
Venue
2020
10.1142/S0218127420501229
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
Mean sensitivity, mean equicontinuity, F-sensitivity, inverse limit system, uniform space, chaos theory
Journal
30
Issue
ISSN
Citations 
8
0218-1274
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Xinxing Wu16818.44
Shudi Liang200.34
Xin Ma34211.29
Tian-Xiu Lu494.03
Seyyed Alireza Ahmadi500.68