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The boundaries of golden-mean Siegel disks in the complex quadratic Henon family are not smooth

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 نشر من قبل Michael Yampolsky
 تاريخ النشر 2016
  مجال البحث
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As was recently shown by the first author and others, golden-mean Siegel disks of sufficiently dissipative complex quadratic Henon maps are bounded by topological circles. In this paper we investigate the geometric properties of such curves, and demonstrate that they cannot be $C^1$-smooth.



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