We investigate the local and global character of the unique equilibrium point and boundedness of the solutions of certain homogeneous fractional difference equation with quadratic terms. Also, we consider Neimark–Sacker bifurcations and give the asymptotic approximation of the invariant curve.

中文翻译：

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某些齐次二阶分数阶差分方程的稳定性，Neimark-Sacker分叉和不变曲线的逼近

我们研究了唯一的平衡点的局部和全局特征以及某些具有二次项的齐次分数差分方程解的有界性。另外，我们考虑Neimark-Sacker分叉，并给出不变曲线的渐近逼近。