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math.DS2011★ 2 cited
A numerical study of infinitely renormalizable area-preserving maps
Denis Gaidashev, Tomas Johnson
It has been shown in (Gaidashev et al, 2010) and (Gaidashev et al, 2011) that infinitely renormalizable area-preserving maps admit invariant Cantor sets with a maximal Lyapunov exp…
math.DS2011
Existence of a Lorenz renormalization fixed point of an arbitrary critical order
Denis Gaidashev, Bjorn Winckler
We present a proof of the existence of a renormalization fixed point for Lorenz maps of the simplest non-unimodal combinatorial type ({0,1},{1,0,0}), and with a critical point of a…