A simple Proof for persistence of snap-back repellers

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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