In this paper, global dynamical properties of rational higher-order system are explored in the interior of . It is explored that under certain parametric conditions, the discrete-time system has at most eight equilibria. By the method of linearization, local dynamics has been explored. It is explored that positive solution of the system is bounded, and moreover fixed point is globally stable if , . It is also investigated that the positive solution of the system under consideration converges to . Lastly, theoretical results are confirmed by numerical simulation. The presented work is significantly extended and improves current results in the literature.

中文翻译：

---

有理高阶差分方程组的整体动力学性质

在本文中，探索了有序高阶系统的整体动力学性质。探索了在某些参数条件下，离散时间系统最多具有八个平衡点。通过线性化的方法，探索了局部动力学。探索了系统的正解是有界的，而且如果， 。还研究了该系统的正解收敛到。最后，通过数值模拟验证了理论结果。提出的工作大大扩展并改善了文献中的最新结果。