標題: A simple Proof for persistence of snap-back repellers
作者: Li, Ming-Chia
Lyu, Ming-Jiea
應用數學系
Department of Applied Mathematics
關鍵字: Snap-back repeller;Implicit function theorem;Li-Yorke chaos;Topological entropy
公開日期: 15-Apr-2009
摘要: 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
期刊: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume: 352
Issue: 2
起始頁: 669
結束頁: 671
Appears in Collections:Articles


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