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Linearization of complex hyperbolic Dulac germs

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 نشر من قبل Jean-Philippe Rolin
 تاريخ النشر 2021
  مجال البحث
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We prove that a hyperbolic Dulac germ with complex coefficients in its expansion is linearizable on a standard quadratic domain and that the linearizing coordinate is again a complex Dulac germ. The proof uses results about normal forms of hyperbolic transseries from another work of the authors.

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