联系区间映射与圆周映射的函数方程

Functional Equations Connecting Interval Maps and Circle Maps

在解释区间映射和圆周映射的数量普适性现象的理论中，有关的重整化群函数方程及其解起着关键作用。本文研究具有广泛意义的联系这两种映射的函数方程得到的主要结果是它存在无穷多个Ｃ￣∞解，且可用构造性方法给出，其参数的范围比［９］中的Ｄ大。最后还提出一些值得进一步研究的问题。

In the theory of the universal phenomenon obtained in the numerical research aboutinterval maps and circle maps,a key role is played by the renormalization group hinctionalequations and their solutions.This paper studies the functional equations connecting the twomaps The existence of its infinite C￣∞ solutions is shown by constructing method.The scope ofparameter is larger than D in[9]. Finaly, some further problems which need to be studied areposed.