论文标题

带有FKS方程平台的单谷扩展的解决方案

Single-valley-extended solutions with platforms of FKS equation

论文作者

Shi, Yong-Guo

论文摘要

Feigenbaum-kadanoff-shenker(FKS)方程是一种非线性迭代功能方程,它表征了到圆形图的quasiperiodic途径。我们提出了第二种类型的FKS方程,而不是FKS方程。我们使用迭代构造方法获得具有该功能方程的平台的新型连续解决方案。我们显示了这些连续解决方案的某些属性,并在FKS方程和第二类FKS方程之间提供了一些解决方案的关系。

The Feigenbaum-Kadanoff-Shenker (FKS) equation is a nonlinear iterative functional equation, which characterizes the quasiperiodic route to chaos for circle maps. Instead of FKS equation, we put forward the second type of FKS equation. We use the iterative construction method to obtain a new kind of continuous solutions with platforms for this functional equation. We show some properties of these continuous solutions, and give one relationship of some solutions between FKS equation and the second type of FKS equation.

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