English

Realization of analytic moduli for parabolic Dulac germs

Dynamical Systems 2023-06-22 v2

Abstract

In a previous paper we have determined analytic invariants, that is, moduli of analytic classification, for parabolic generalized Dulac germs. This class contains parabolic Dulac (almost regular) germs, that appear as first return maps of hyperbolic polycycles. Here we solve the problem of realization of these moduli.

Cite

@article{arxiv.1910.06130,
  title  = {Realization of analytic moduli for parabolic Dulac germs},
  author = {Pavao Mardešić and Maja Resman},
  journal= {arXiv preprint arXiv:1910.06130},
  year   = {2023}
}

Comments

52 pages, 9 figures

R2 v1 2026-06-23T11:42:58.873Z