Realization of analytic moduli for parabolic Dulac germs - Archive ouverte HAL
Article Dans Une Revue Ergodic Theory and Dynamical Systems Année : 2022

Realization of analytic moduli for parabolic Dulac germs

Résumé

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.

Dates et versions

hal-03280552 , version 1 (07-07-2021)

Identifiants

Citer

Pavao Mardešić, Maja Resman. Realization of analytic moduli for parabolic Dulac germs. Ergodic Theory and Dynamical Systems, 2022, 42 (1), pp.195 - 249. ⟨10.1017/etds.2020.139⟩. ⟨hal-03280552⟩
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