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Analytic moduli for parabolic Dulac germs
Russian Mathematical Surveys ( IF 0.9 ) Pub Date : 2021-08-27 , DOI: 10.1070/rm10001
P. Mardešić 1, 2 , M. Resman 2
Affiliation  

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 calle–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.



中文翻译:

抛物线杜拉克细菌的分析模量

本文给出了抛物线杜拉克细菌(即几乎规则的细菌)的分析分类模数。Dulac细菌作为双曲多环的第一个返回图出现。它们的模量由一系列calle-Voronin型解析微分同胚的胚芽给出。结果是在更广泛的抛物线广义 Dulac 细菌中陈述的,这些细菌具有幂对数渐近展开式。

参考书目:23 个标题。

更新日期:2021-08-27
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