engleski

Linearization of complex hyperbolic Dulac germs

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 in [19].

Dulac germs and series ; Hyperbolic fixed point ; Linearization ; Koenigs' sequence

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