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 | |
【 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
【 预 览 】
Files | Size | Format | View |
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10_1016_j_jde_2018_09_008.pdf | 501KB | download |