Name
Abstract | ||
|---|---|---|
This paper proves that the linear transformation A (x) = Ax on C-n has the (asymptotic) average shadowing property if and only if A is hyperbolic, where A is a nonsingular matrix, giving a positive answer to a question in [Lee, 2012a]. Besides, it is proved that A does not have the d-shadowing property, thus does not have the ergodic shadowing property for every nonsingular matrix A. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1142/S0218127419500421 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | Field | DocType |
Average shadowing, asymptotic average shadowing, ergodic shadowing, d-shadowing, hyperbolicity, distributional chaos | Linear dynamical system,Matrix (mathematics),Mathematical analysis,Linear map,If and only if,Invertible matrix,Mathematics | Journal |
Volume | Issue | ISSN |
29 | 3 | 0218-1274 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xinxing Wu | 1 | 68 | 18.44 |
| X. Zhang | 2 | 190 | 43.25 |
| Xin Ma | 3 | 18 | 6.20 |