Linearization of complex hyperbolic Dulac germs
Dynamical Systems
2021-09-02 v1
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.
Keywords
Cite
@article{arxiv.2109.00284,
title = {Linearization of complex hyperbolic Dulac germs},
author = {Dino Peran and Maja Resman and Jean-Philippe Rolin and Tamara Servi},
journal= {arXiv preprint arXiv:2109.00284},
year = {2021}
}