DOI: 10.3390/math14152818 ISSN: 2227-7390

A New Construction Method for Flat-Bottomed Single-Valley Solutions of the Feigenbaum–Kadanoff–Shenker Equation

Wei Song, Yanhong Hu, Pingping Zhang

The Feigenbaum–Kadanoff–Shenker (FKS) equation describes the quasiperiod route to chaos for circle maps. To facilitate research on the FKS equation, Shi introduced the second type of this equation and provided a construction method for its flat-bottomed single-valley solutions. In the present study, we introduce a new construction method for flat-bottomed single-valley solutions of the second type of FKS equation.

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