![](/images/graphics-bg.png)
Supercritical Neimark–Sacker Bifurcation and Hybrid Control in a Discrete-Time Glycolytic Oscillator Model
Joint Authors
Khan, A. Q.
Ibrahim, Tarek F.
Abdullah, E.
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-22
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We study the local dynamical properties, Neimark–Sacker bifurcation, and hybrid control in a glycolytic oscillator model in the interior of ℝ+2.
It is proved that, for all parametric values, Pxy+α/β+α2,α is the unique positive equilibrium point of the glycolytic oscillator model.
Further local dynamical properties along with different topological classifications about the equilibrium Pxy+α/β+α2,α have been investigated by employing the method of linearization.
Existence of prime period and periodic points of the model under consideration are also investigated.
It is proved that, about the fixed point Pxy+α/β+α2,α, the discrete-time glycolytic oscillator model undergoes no bifurcation, except Neimark–Sacker bifurcation.
A further hybrid control strategy is applied to control Neimark–Sacker bifurcation in the discrete-time model.
Finally, theoretical results are verified numerically.
American Psychological Association (APA)
Khan, A. Q.& Abdullah, E.& Ibrahim, Tarek F.. 2020. Supercritical Neimark–Sacker Bifurcation and Hybrid Control in a Discrete-Time Glycolytic Oscillator Model. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1200667
Modern Language Association (MLA)
Khan, A. Q.…[et al.]. Supercritical Neimark–Sacker Bifurcation and Hybrid Control in a Discrete-Time Glycolytic Oscillator Model. Mathematical Problems in Engineering No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1200667
American Medical Association (AMA)
Khan, A. Q.& Abdullah, E.& Ibrahim, Tarek F.. Supercritical Neimark–Sacker Bifurcation and Hybrid Control in a Discrete-Time Glycolytic Oscillator Model. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1200667
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1200667