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Destruction of invariant circles for Gevrey area-preserving twist maps

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 نشر من قبل Lin Wang
 تاريخ النشر 2014
  مجال البحث
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 تأليف Lin Wang




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In this paper, we show that for exact area-preserving twist maps on annulus, the invariant circles with a given rotation number can be destroyed by arbitrarily small Gevrey-$alpha$ perturbations of the integrable generating function in the $C^r$ topology with $r<4-frac{2}{alpha}$, where $alpha>1$.

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