Linearization of complex hyperbolic Dulac germs

2021/09/01 by Peran, Dino, Resman, Maja, Rolin, Jean-Philippe +1
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2109.00284

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 from another work of the authors.

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