Name
Abstract | ||
|---|---|---|
In this paper, we consider the persistence of snap-back repellers under small C-1 perturbations in Banach spaces. Let X be a Banach space and f be a C-1-map from X into itself. We show that if f has a snap-back repeller, then any small C-1 perturbations of f has a snap-back repeller and exhibits chaos in the sense of Devaney. The obtained results further extend the existing relevant results in finite-dimensional Euclidean spaces. As applications, we will discuss the chaotic behavior of two nonlocal population models. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1142/S0218127411028702 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | DocType | Volume |
Snap-back repeller, implicit function theorem, Devaney's chaos | Journal | 21 |
Issue | ISSN | Citations |
3 | 0218-1274 | 1 |
PageRank | References | Authors |
0.37 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yuanlong Chen | 1 | 4 | 1.83 |
| Yu Huang | 2 | 67 | 10.36 |
| Liangliang Li | 3 | 9 | 2.32 |