摘要
设f为Feigenbaum映射,亦即函数方程fp(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f的性质进而证明．f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．
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.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2006年第2期399-404,共6页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(19971035)
吉林大学创新基金资助项目(2004C8051)
作者简介
E-mail：liaogf@email．jlu．edu．cn
