中文摘要：

设f为Feigenbaum映射，亦即函数方程f^P（λx）-λf（x）满足一定条件的单峰解．f的搓揉序列为0—1无限序列，f的特征集是临界点轨迹的闭包．本文研究，的性质进而证明，的搓揉序列是某代换在符号空间中的不动点，f在特征集上的限制是某代换子移位的一个因子．

英文摘要：

Let f be a Feigenbaum map, i.e. a unimodal solution satisfying certain conditions of the functional equation f^P（λx） = λf（x） . The kneading sequence of f is a 0-1 infinite sequence and the characteristic set of f is the closure of the orbit of critical point. In this paper, we investigate properties of f and then we prove that the kneading sequence of f is a fixed point of some substitution in a symbolic space and the restriction of f to characteristic set is a factor of some substitution subshift.