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KAM-renormalization and Herman rings for 2D maps

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 نشر من قبل Michael Yampolsky
 تاريخ النشر 2021
  مجال البحث
والبحث باللغة English
 تأليف Michael Yampolsky




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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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