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math.DS2008
On Analytic Perturbations of a Family of Feigenbaum-like Equations
Denis Gaidashev
We prove existence of solutions of a family of of Feigenbaum-like equations \label{family} ϕ(x)={1+\eps \over λ} ϕ(ϕ(λx)) -\eps x +τ(x), where $\eps$ is a small real number…
math.DS2008★ 3 cited
Period Doubling in Area-Preserving Maps: An Associated One Dimensional Problem
Denis Gaidashev, Hans Koch
It has been observed that the famous Feigenbaum-Coullet-Tresser period doubling universality has a counterpart for area-preserving maps of $\field{R}^2$. A renormalization approach…