Piecewise two-dimensional maps and applications to cellular neural networks

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DC Field	Value	Language
dc.contributor.author	Chang, HM	en_US
dc.contributor.author	Juang, J	en_US
dc.date.accessioned	2014-12-08T15:38:54Z	-
dc.date.available	2014-12-08T15:38:54Z	-
dc.date.issued	2004-07-01	en_US
dc.identifier.issn	0218-1274	en_US
dc.identifier.uri	http://dx.doi.org/10.1142/S021812740401062X	en_US
dc.identifier.uri	http://hdl.handle.net/11536/26633	-
dc.description.abstract	Of concern is a two-dimensional map T of the form T(x, y) = (y, F(y) - bx). Here F is a three-piece linear map. In this paper, we first prove a theorem which states that a semiconjugate condition for T implies the existence of Smale horseshoe. Second, the theorem is applied to show the spatial chaos of one-dimensional Cellular Neural Networks. We improve a result of Hsu [2000].	en_US
dc.language.iso	en_US	en_US
dc.subject	Cellular Neural Networks	en_US
dc.subject	Smale horseshoe	en_US
dc.subject	piecewise two-dimensional map	en_US
dc.title	Piecewise two-dimensional maps and applications to cellular neural networks	en_US
dc.type	Article	en_US
dc.identifier.doi	10.1142/S021812740401062X	en_US
dc.identifier.journal	INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS	en_US
dc.citation.volume	14	en_US
dc.citation.issue	7	en_US
dc.citation.spage	2223	en_US
dc.citation.epage	2228	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:000224179400005	-
dc.citation.woscount	4	-
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