线性分式函数的自迭代周期与吸引子

Period and Attractive Point of Self-iteration for Linear Fractional Function

应用矩阵特征值的方法推导出线性分式的 n次自迭代通项公式 ,证明了对于任意的自然数 n 3 ,存在无穷多以 n为自迭代周期的线性分式 ,给出了线性分式函数的自迭代周期和吸引子的较全面的刻画 .

This paper gives general term formula of n order self-iteration for linear fraction by the method of matrix eigenvalue, proves that for each positive integer n3, there are infinite linear fractions of period n in self-iteration, gives period and Attractive Point of self-iteration for linear fractional faction.