P阶Feigenbaum函数方程的单峰连续偶解

The Continuous Single-peak Even Solutions of P-Order Feigenbaum’s Functional Equation

为了更好的解释Feigenbaum现象,研究了第一类Feigenbaum函数方程的单峰连续偶解和第二类Feigenbaum函数方程的单谷连续解之间的关系,利用构造性的方法证明了以下结论:P阶Feigenbaum函数方程存在单峰连续的偶解,本文推广了以前相关的结果。

To interpret the Feigenbaum＇ s phenomena better, this paper considers the relation between the continuous single-peak even solutions on the first type of Feigenbaum＇ s functional equations and the continuous singlevalley solutions on the second type of Feigenbaum＇ s functional equations. It proves by a constructive method that Porder Feigenbaum＇ s functional equation has the continuous single-peak even solutions, which generalizes the existed work.