求解Feigenbaum函数的重整化方法

THE RENORMALIZATION METHOD FOR CALCULATING THE FEIGENBAUM FUNCTION

提出了一种求解 Feigenbaum 函数的重整化方法.与其他方法比较,这一方法的求解过程最为简洁,同时绘出的逼近结果最为精确.

A new method is proposed for calculating the Feigenbaum function— the renomalization method.In virtue of this method,the accurate expres- sions of Feigenbaum function g(x),h(x),and the Feigenbaum constants a and δ can be easily obtained with any given precision.Compared with other treatments it is the simplest approach,and its result is also the most accu- rate.