文章基本信息

标题：On a fractional-order delay Mackey-Glass equation
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作者：Ahmed MA El-Sayed ; Sanaa M Salman ; Naemaa A Elabd 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2016
卷号：2016
期号：1
页码：137
DOI：10.1186/s13662-016-0863-x
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, a fractional-order Mackey-Glass equation with constant delay is considered. The local stability of the fixed points is analyzed. Moreover, a discretization process is applied to convert the fractional-order delay equation to its discrete analog. A numerical simulation including Lyapunov exponent, phase diagrams, bifurcation, and chaos is carried out using Matlab to ensure theoretical results and to reveal more complex dynamics of the equation after discretization.
关键词：fractional-order delay Mackey-Glass equations ; fixed points ; local stability ; discretization ; Lyapunov exponent ; bifurcation ; chaos