文章基本信息

标题：Control and stability on chaotic convection in porous media with time delayed fractional orders
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作者：Khaled Moaddy
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2017
卷号：2017
期号：1
页码：311
DOI：10.1186/s13662-017-1372-2
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we study the effect of time delay and the scaled Rayleigh number on chaotic convection in porous media with fractional order. The stability analysis for different fractional-order cases is investigated and the effective chaotic range of the fractional order is determined by a general synchronization of nonidentical chaotic systems based on the active control technique. The numerical results demonstrate that the effect of various values of the scaled Rayleigh number R, time delay and fractional orders changes the chaotic convection behavior to limit cycles or stable system in porous media.
关键词：chaotic behavior ; fractional differential equations ; synchronization ; internal heat generation ; porous media