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math.DS2020
Single-valley-extended solutions with platforms of FKS equation
Yong-Guo Shi
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 eq…
math.DS2019
Conjugacy problem of strictly monotone maps with only one jump discontinuity
Jinghua Liu, Yong-Guo Shi
The conjugacy problem is one of the central questions in iteration theory. As far as we, for discontinuous strictly monotone maps there is no complete result. In this paper, we inv…