Feigenbaum方程的连续可微单峰解*
The Continual Differentiate Peak-Unimodal Solutions of Feigenbaum’s Functional Equations
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摘要: 对著名的Feigenbaum方程.本文建立了它的单峰解的结构定理,由此,得出了寻求单峰解的又一途径.作为例证,本文循此直接去求得了非对称的连续单峰解及C1类的解.Abstract: For the famous Feigenbaum's equations,in this paper,we established its constructive theorem of the peak-unimodal,then we found out other paths to explore the peak-unimodal solutions.For example,we proceed on the direction to try the non-symmetrical continuous peak-unimodal solutions and C1 solutions.
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[1] Feigenbaum,M.J.,Quantitative universality for a class of nonlinear transformations,J.Stat.Phys.,19(1978),25. [2] 郝柏林,分岔、混沌、奇怪吸引子、湍流及其它-关于确定论系统中的内在随机性,物理学进展,3(1983),329. [3] 朱照宣,非线性动力学中的浑沌,力学进展,2(1980),129. [4] 杨路、张景中,第二类Feigenbaum函数方程,中国科学A辑,12(1986),1061. -
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