Analytic moduli for parabolic Dulac germs

被引：4

作者：

Mardesic, P. ^{[1
,2
]}

Resman, M. ^{[2
]}

机构：

[1] Univ Bourgogne Franche Comte, Inst Math Bourgogne, UMR 5584, CNRS, Dijon, France

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

来源：

RUSSIAN MATHEMATICAL SURVEYS | 2021年 / 76卷 / 03期

关键词：

Dulac germ; analytic invariants; ecalle-Voronin moduli; Gevrey summability; transseries;

D O I：

10.1070/RM10001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper gives moduli of analytic classification for parabolic Dulac germs (that is, almost regular germs). Dulac germs appear as first return maps of hyperbolic polycycles. Their moduli are given by a sequence of ecalle-Voronin-type germs of analytic diffeomorphisms. The result is stated in a broader class of parabolic generalized Dulac germs having power- logarithmic asymptotic expansions. Bibliography: 23 titles.

引用

页码：389 / 460

页数：72

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