Neimark–Sacker Bifurcation of a Two-Dimensional Discrete-Time Chemical Model

Abstract EN

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.