A simple Proof for persistence of snap-back repellers

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DC Field	Value	Language
dc.contributor.author	Li, Ming-Chia	en_US
dc.contributor.author	Lyu, Ming-Jiea	en_US
dc.date.accessioned	2014-12-08T15:09:37Z	-
dc.date.available	2014-12-08T15:09:37Z	-
dc.date.issued	2009-04-15	en_US
dc.identifier.issn	0022-247X	en_US
dc.identifier.uri	http://dx.doi.org/10.1016/j.jmaa.2008.11.021	en_US
dc.identifier.uri	http://hdl.handle.net/11536/7364	-
dc.description.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.	en_US
dc.language.iso	en_US	en_US
dc.subject	Snap-back repeller	en_US
dc.subject	Implicit function theorem	en_US
dc.subject	Li-Yorke chaos	en_US
dc.subject	Topological entropy	en_US
dc.title	A simple Proof for persistence of snap-back repellers	en_US
dc.type	Article	en_US
dc.identifier.doi	10.1016/j.jmaa.2008.11.021	en_US
dc.identifier.journal	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS	en_US
dc.citation.volume	352	en_US
dc.citation.issue	2	en_US
dc.citation.spage	669	en_US
dc.citation.epage	671	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.identifier.wosnumber	WOS:000264730200010	-
dc.citation.woscount	3	-
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