Abstract | ||
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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 Wu | 1 | 68 | 18.44 |
Shudi Liang | 2 | 0 | 0.34 |
Xin Ma | 3 | 42 | 11.29 |
Tian-Xiu Lu | 4 | 9 | 4.03 |
Seyyed Alireza Ahmadi | 5 | 0 | 0.68 |