Single-valley-extended solutions with platforms of FKS equation
Dynamical Systems
2020-10-13 v1 Functional Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.2010.05203,
title = {Single-valley-extended solutions with platforms of FKS equation},
author = {Yong-Guo Shi},
journal= {arXiv preprint arXiv:2010.05203},
year = {2020}
}
Comments
10 pages, 0 figure