The Fatou coordinate for parabolic Dulac germs
Dynamical Systems
2018-07-16 v2
Abstract
We study the class of parabolic Dulac germs of hyperbolic polycycles. For such germs we give a constructive proof of the existence of a unique Fatou coordinate, admitting an asymptotic expansion in the power-iterated log scale.
Cite
@article{arxiv.1710.01268,
title = {The Fatou coordinate for parabolic Dulac germs},
author = {Pavao Mardesic and Maja Resman and Jean-Philippe Rolin and Vesna Zupanovic},
journal= {arXiv preprint arXiv:1710.01268},
year = {2018}
}
Comments
31 pages. arXiv admin note: text overlap with arXiv:1606.02581