In this paper, the local dynamics and Neimark–Sacker bifurcation of a two-dimensional glycolytic oscillator model in the interior of are explored. It is investigated that for all , the model has a unique equilibrium point: . Further about , local dynamics and the existence of bifurcation are explored. It is investigated about 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.

中文翻译：

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二维离散化学模型的Neimark-Sacker分叉

在本文中，研究了在内部的二维糖酵解振荡器模型的局部动力学和Neimark-Sacker分叉。研究表明，对于所有，该模型都有一个唯一的平衡点：。进一步关于，探讨了局部动力学和分叉的存在。被调查糖酵解振荡模型除奈马克-萨克分叉外没有其他分支。给出了一些仿真以验证所获得的结果。最后，给出了糖酵解振荡器模型的分叉图和相应的最大Lyapunov指数。