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Journal Articles Journal of Mathematical Analysis and Applications Year : 2022

Linearization of complex hyperbolic Dulac germs

Abstract

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].

Dates and versions

hal-03673980 , version 1 (20-05-2022)

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D. Peran, M. Resman, Jean-Philippe Rolin, T. Servi. Linearization of complex hyperbolic Dulac germs. Journal of Mathematical Analysis and Applications, 2022, 508 (1), pp.125833. ⟨10.1016/j.jmaa.2021.125833⟩. ⟨hal-03673980⟩
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