The Continual Differentiate Peak-Unimodal Solutions of Feigenbaum’s Functional Equations

Cheng Bao-long

Volume 10 Issue 5

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Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(5): 403-409

Cheng Bao-long. The Continual Differentiate Peak-Unimodal Solutions of Feigenbaum’s Functional Equations[J]. Applied Mathematics and Mechanics, 1989, 10(5): 403-409.

Citation:

Cheng Bao-long. The Continual Differentiate Peak-Unimodal Solutions of Feigenbaum’s Functional Equations[J]. Applied Mathematics and Mechanics, 1989, 10(5): 403-409.

Citation:

Cheng Bao-long. The Continual Differentiate Peak-Unimodal Solutions of Feigenbaum’s Functional Equations[J]. Applied Mathematics and Mechanics, 1989, 10(5): 403-409.

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The Continual Differentiate Peak-Unimodal Solutions of Feigenbaum’s Functional Equations

Cheng Bao-long

Central-South University of Technology, Changsha

Received Date: 1988-05-18
Publish Date: 1989-05-15

Abstract

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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References(4)

References

[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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