The Fatou coordinate for parabolic Dulac germs

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:266

Article

Mardesic, P.¹  Resman, M.²  Rolin, J-P¹  Zupanovic, V³ 

[1] Univ Bourgogne, Inst Math & Bourgogne, Dept Mathemat, BP 47 870, F-21078 Dijon, France

[2] Univ Zagreb, Fac Sci, Dept Math, Bijenicka 30, Zagreb 10000, Croatia

[3] Univ Zagreb, Fac Elect Engn & Comp, Dept Appl Math, Unska 3, Zagreb 10000, Croatia

关键词: Dulac germ;    Fatou coordinate;    Embedding in a flow;    Asymptotic expansion;    Transseries;   

DOI  :  10.1016/j.jde.2018.09.008

来源: Elsevier

【 摘 要 】

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 logarithm monomials. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free