Controlling Neimark-Sacker Bifurcation in Delayed Species Model Using Feedback Controller
Joint Authors
Ran, Jie
Liu, Yanmin
He, Jun
Li, Xiang
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-09-04
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ran, Jie& Liu, Yanmin& He, Jun& Li, Xiang. 2016. Controlling Neimark-Sacker Bifurcation in Delayed Species Model Using Feedback Controller. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1095774
Modern Language Association (MLA)
Ran, Jie…[et al.]. Controlling Neimark-Sacker Bifurcation in Delayed Species Model Using Feedback Controller. Advances in Mathematical Physics No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1095774
American Medical Association (AMA)
Ran, Jie& Liu, Yanmin& He, Jun& Li, Xiang. Controlling Neimark-Sacker Bifurcation in Delayed Species Model Using Feedback Controller. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1095774
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095774