Analytic moduli for parabolic Dulac germs

Authors :: Pavao Mardešić
Maja Resman
Institut de Mathématiques de Bourgogne [Dijon] (IMB)
Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC)
Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université de Bourgogne (UB)
Department of Mathematics [Zagreb]
Faculty of Science [Zagreb]
University of Zagreb-University of Zagreb
Croatian Unity Through Knowledge Fund (UKF) 'My first collaboration grant'16Croatian Science Foundation (HRZZ) - European Social FundUIP-2017-05-1020PZS-2019-02-3055EIPHI Graduate SchoolANR-17-EURE-0002UKF grant
ANR-17-EURE-0002,EIPHI,Ingénierie et Innovation par les sciences physiques, les savoir-faire technologiques et l'interdisciplinarité(2017)
Source :: Russian Mathematical Surveys, Russian Mathematical Surveys, Turpion, 2021, 76 (3), pp.389-460. ⟨10.1070/RM10001⟩
Publication Year :: 2021
Publisher :: IOP Publishing, 2021.
Abstract: In this paper we give moduli of analytic classification for parabolic Dulac i.e. almost regular germs. Dulac germs appear as first return maps of hyperbolic polycycles. Their moduli are given by a sequence of Ecalle-Voronin-like germs of analytic diffeomorphisms. We state the result in a bigger class of parabolic generalized Dulac germs having power-logarithmic asymptotic expansions.<br />63 pages, 5 figures

Full Text Access

Tools