Title: | A simple Proof for persistence of snap-back repellers |
Authors: | Li, Ming-Chia Lyu, Ming-Jiea 應用數學系 Department of Applied Mathematics |
Keywords: | Snap-back repeller;Implicit function theorem;Li-Yorke chaos;Topological entropy |
Issue Date: | 15-Apr-2009 |
Abstract: | In this article, we show that if f has a snap-back repeller then any small C(1) perturbation of f has a snap-back repeller, and hence has Li-Yorke chaos and positive topological entropy, by simply using the implicit function theorem. We also give some examples. (C) 2008 Elsevier Inc. All rights reserved. |
URI: | http://dx.doi.org/10.1016/j.jmaa.2008.11.021 http://hdl.handle.net/11536/7364 |
ISSN: | 0022-247X |
DOI: | 10.1016/j.jmaa.2008.11.021 |
Journal: | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
Volume: | 352 |
Issue: | 2 |
Begin Page: | 669 |
End Page: | 671 |
Appears in Collections: | Articles |
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