Name
Abstract | ||
|---|---|---|
Let (X, d) be a compact metric space and F = {f1, f2,..., fn} be an n-tuple of continuous selfmaps on X. This paper investigates Hausdorff metric Li-Yorke chaos, distributional chaos and distributional chaos in a sequence from a set-valued view. On the basis of this research, we draw the main conclusions as follows: (i) If F has a distributionally chaotic pair, especially F is distributionally chaotic, the strongly nonwandering set S Omega(F) contains at least two points. (ii) We give a sufficient condition for F to be distributionally chaotic in a sequence and chaotic in the strong sense of Li-Yorke. Finally, an example to verify (ii) is given. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1142/S021812741750119X | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | Field | DocType |
Multiple mappings, Li-Yorke chaos, distributional chaos in a sequence | Discrete mathematics,Mathematical analysis,Compact space,Hausdorff distance,Chaotic,Mathematics | Journal |
Volume | Issue | ISSN |
27 | 8 | 0218-1274 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lidong Wang | 1 | 154 | 23.64 |
| Yingcui Zhao | 2 | 0 | 0.34 |
| Yuelin Gao | 3 | 105 | 18.34 |
| Heng Liu | 4 | 153 | 27.10 |