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Controlling Neimark-Sacker Bifurcation in Delayed Species Model Using Feedback Controller

Controlling Neimark-Sacker bifurcation in delayed species model using feedback controller
Authors: Jie Ran; Yanmin Liu; Jun He; Xiang Li;

Controlling Neimark-Sacker Bifurcation in Delayed Species Model Using Feedback Controller

Abstract

Based on the stability and orthogonal polynomial approximation theory, the ordinary, dislocated, enhancing, and random feedback control methods are used to suppress the Neimark-Sacker bifurcation to fixed point in this paper. It is shown that the convergence rate of enhancing feedback control and random feedback control can be faster than those of dislocated and ordinary feedback control. The random feedback control method, which does not require any adjustable control parameters of the model, just only slightly changes the random intensity. Finally, numerical simulations are presented to verify the effectiveness of the proposed controllers.

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Keywords

random feedback control, Computational methods in stochastic control, Physics, QC1-999, Neimark-Sacker bifurcation, Feedback control, Bifurcation control of ordinary differential equations, orthogonal polynomial approximation theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
gold