文章基本信息

标题：Chaotification for linear delay difference equations
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作者：Zongcheng Li
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：59
DOI：10.1186/1687-1847-2013-59
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper is concerned with chaotification of linear delay difference equations via the feedback control technique. The controlled system is first reformulated into a linear discrete dynamical system. Then, a chaotification theorem based on the snap-back repeller theory for maps is established. The controlled system is proved to be chaotic in the sense of both Devaney an Li-Yorke. An illustrative example is provided with computer simulations. MSC:34C28, 37D45, 74H65.
关键词：chaos ; chaotification ; delay difference equation ; chaos in the sense of Li-Yorke ; chaos in the sense of Devaney