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KAM-renormalization and Herman rings for 2D maps

Published 9 Jun 2021 in math.DS | (2106.04991v1)

Abstract: In this note, we extend the renormalization horseshoe we have recently constructed with N. Goncharuk for analytic diffeomorphisms of the circle to their small two-dimensional perturbations. As one consequence, Herman rings with rotation numbers of bounded type survive on a codimension one set of parameters under small two-dimensional perturbations.

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Authors (1)

  1. Michael Yampolsky 

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