Controlling Neimark-Sacker bifurcation in delayed species model using feedback controller
type: Item
instance of: scholarly article
title: Controlling Neimark-Sacker bifurcation in delayed species model using feedback controller
zbMATH Open document ID: 1353.93051
DOI: 10.1155/2016/2028037
author: Jie Ran
author: Jun He
author: Xiang Li
author: Yanmin Liu
published in: Advances in Mathematical Physics
publication date: 2017-01-17T00:00:00Z
review text: Summary: Based on the stability and orthogonal polynomial approximation theory, ordinary, dislocated, enhancing, and random feedback control methods are used to suppress the Neimark-Sacker bifurcation to a 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.
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 34H20
Mathematics Subject Classification ID: 93E25
zbMATH DE Number: 6675484
zbMATH Keywords: orthogonal polynomial approximation theory
zbMATH Keywords: random feedback control
zbMATH Keywords: Neimark-Sacker bifurcation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/2028037
OpenAlex ID: W2508185312
Wikidata QID: Q59122197
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description: scientific article; zbMATH DE number 6675484