文章基本信息

标题：Hybrid control of the Neimark-Sacker bifurcation in a delayed Nicholson’s blowflies equation
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作者：Yuanyuan Wang ; Lisha Wang
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：306
DOI：10.1186/s13662-015-0640-2
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this article, for delayed Nicholson’s blowflies equation, we propose a hybrid control nonstandard finite-difference (NSFD) scheme in which state feedback and parameter perturbation are used to control the Neimark-Sacker bifurcation. Firstly, the local stability of the positive equilibria for hybrid control delay differential equation is discussed according to Hopf bifurcation theory. Then, for any step-size, a hybrid control numerical algorithm is introduced to generate the Neimark-Sacker bifurcation at a desired point. Finally, numerical simulation results confirm that the control strategy is efficient in controlling the Neimark-Sacker bifurcation. At the same time, the results show that the NSFD control scheme is better than the Euler control method.
关键词：hybrid control ; nonstandard finite-difference scheme ; Neimark-Sacker bifurcation ; Nicholson’s blowflies equation ; delay