文章基本信息

标题：Discretization of forced Duffing system with fractional-order damping
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作者：Ahmed MA El-Sayed ; Zaki FE El-Raheem ; Sanaa M Salman 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：2014
卷号：2014
期号：1
页码：66
DOI：10.1186/1687-1847-2014-66
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper we are interested in studying the effect of the fractional-order damping in the forced Duffing oscillator before and after applying a discretization process to it. Fixed points and their stability are discussed for the discrete system obtained. Finally, numerical simulations using Matlab are carried out to investigate the dynamic behavior such as bifurcation, chaos, and chaotic attractors. We note that on increasing the value of the fractional-order parameter, the resulting discrete system is stabilized.
关键词：Duffing oscillator ; fractional-order damping ; fixed points ; stability ; chaotic attractor ; bifurcation ; chaos