Smale horseshoe of Cellular Neural Networks

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Abstract

The paper shows the spatial disorder of one-dimensional Cellular Neural Networks (CNN) using the iteration map method. Under certain parameters, the map is two-dimensional and the Smale horseshoe is constructed. Moreover, we also illustrate the variant of CNN, closely related to Henón-type and Belykh maps, and discrete Allen-Cahn equations.

Original languageEnglish
Pages (from-to)2119-2127
Number of pages9
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume10
Issue number9
DOIs
StatePublished - Sep 2000

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