期刊论文详细信息
JOURNAL OF DIFFERENTIAL EQUATIONS 卷:266
The Fatou coordinate for parabolic Dulac germs
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
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【 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.

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