Neimark–Sacker Bifurcation of a Two-Dimensional Discrete-Time Chemical Model
In this paper, the local dynamics and Neimark–Sacker bifurcation of a two-dimensional glycolytic oscillator model in the interior of ℝ+2 are explored. It is investigated that for all α and β, the model has a unique equilibrium point: Pxy+α/β+α2,α. Further about Pxy+α/β+α2,α, local dynamics and the e...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2020-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2020/3936242 |
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doaj-70206f99facf40cfb73fa341fcca0ed62020-11-25T03:26:37ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/39362423936242Neimark–Sacker Bifurcation of a Two-Dimensional Discrete-Time Chemical ModelA. Q. Khan0Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad 13100, PakistanIn this paper, the local dynamics and Neimark–Sacker bifurcation of a two-dimensional glycolytic oscillator model in the interior of ℝ+2 are explored. It is investigated that for all α and β, the model has a unique equilibrium point: Pxy+α/β+α2,α. Further about Pxy+α/β+α2,α, local dynamics and the existence of bifurcation are explored. It is investigated about Pxy+α/β+α2,α that the glycolytic oscillator model undergoes no bifurcation except the Neimark–Sacker bifurcation. Some simulations are given to verify the obtained results. Finally, bifurcation diagrams and the corresponding maximum Lyapunov exponent are presented for the glycolytic oscillator model.http://dx.doi.org/10.1155/2020/3936242 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. Q. Khan |
| spellingShingle |
A. Q. Khan Neimark–Sacker Bifurcation of a Two-Dimensional Discrete-Time Chemical Model Mathematical Problems in Engineering |
| author_facet |
A. Q. Khan |
| author_sort |
A. Q. Khan |
| title |
Neimark–Sacker Bifurcation of a Two-Dimensional Discrete-Time Chemical Model |
| title_short |
Neimark–Sacker Bifurcation of a Two-Dimensional Discrete-Time Chemical Model |
| title_full |
Neimark–Sacker Bifurcation of a Two-Dimensional Discrete-Time Chemical Model |
| title_fullStr |
Neimark–Sacker Bifurcation of a Two-Dimensional Discrete-Time Chemical Model |
| title_full_unstemmed |
Neimark–Sacker Bifurcation of a Two-Dimensional Discrete-Time Chemical Model |
| title_sort |
neimark–sacker bifurcation of a two-dimensional discrete-time chemical model |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X 1563-5147 |
| publishDate |
2020-01-01 |
| description |
In this paper, the local dynamics and Neimark–Sacker bifurcation of a two-dimensional glycolytic oscillator model in the interior of ℝ+2 are explored. It is investigated that for all α and β, the model has a unique equilibrium point: Pxy+α/β+α2,α. Further about Pxy+α/β+α2,α, local dynamics and the existence of bifurcation are explored. It is investigated about Pxy+α/β+α2,α that the glycolytic oscillator model undergoes no bifurcation except the Neimark–Sacker bifurcation. Some simulations are given to verify the obtained results. Finally, bifurcation diagrams and the corresponding maximum Lyapunov exponent are presented for the glycolytic oscillator model. |
| url |
http://dx.doi.org/10.1155/2020/3936242 |
| work_keys_str_mv |
AT aqkhan neimarksackerbifurcationofatwodimensionaldiscretetimechemicalmodel |
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