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Realization of analytic moduli for parabolic Dulac germs
Ergodic Theory and Dynamical Systems ( IF 0.8 ) Pub Date : 2021-01-18 , DOI: 10.1017/etds.2020.139
PAVAO MARDEŠIĆ , MAJA RESMAN

In a previous paper [P. Mardešić and M. Resman. Analytic moduli for parabolic Dulac germs. Russian Math. Surveys, to appear, 2021, arXiv:1910.06129v2.] we determined analytic invariants, that is, moduli of analytic classification, for parabolic generalized Dulac germs. This class contains parabolic Dulac (almost regular) germs, which appear as first-return maps of hyperbolic polycycles. Here we solve the problem of realization of these moduli.

中文翻译:

抛物线Dulac胚的解析模的实现

在之前的一篇论文中 [P. Mardešić 和 M. Resman。抛物线 Dulac 细菌的分析模量。俄罗斯数学。调查, 出现, 2021, arXiv:1910.06129v2.] 我们确定了抛物线广义 Dulac 胚的解析不变量,即解析分类的模量。此类包含抛物线杜拉克(几乎是常规的)细菌,它们显示为双曲多环的首次返回图。在这里,我们解决了这些模数的实现问题。
更新日期:2021-01-18
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