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Pregled bibliografske jedinice broj: 1100465

Analytic moduli for parabolic Dulac germs


Mardešić, Pavao; Resman, Maja
Analytic moduli for parabolic Dulac germs // Russian mathematical surveys, 76 (2021), 3; 13-92 doi:10.1070/RM10001 (međunarodna recenzija, članak, znanstveni)


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Naslov
Analytic moduli for parabolic Dulac germs

Autori
Mardešić, Pavao ; Resman, Maja

Izvornik
Russian mathematical surveys (0036-0279) 76 (2021), 3; 13-92

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Almost regular germ ; analytic invariants ; Ecalle-Voronin moduli ; Gevrey summability ; transseries

Sažetak
In this paper we give moduli of analytic classification for parabolic Dulac, i.e., almost regular germs. Dulac germs appear as first return maps ofhyperbolic 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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-16 - Klasifikacije Dulacovih preslikavanja i epsilon-okoline (Resman, Maja, HRZZ ) ( CroRIS)
HRZZ-UIP-2017-05-1020 - Fraktalna analiza diskretnih dinamičkih sustava (DSfracta) (Resman, Maja, HRZZ - 2017-05) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Pavao Mardešić (autor)

Avatar Url Maja Resman (autor)

Citiraj ovu publikaciju:

Mardešić, Pavao; Resman, Maja
Analytic moduli for parabolic Dulac germs // Russian mathematical surveys, 76 (2021), 3; 13-92 doi:10.1070/RM10001 (međunarodna recenzija, članak, znanstveni)
Mardešić, P. & Resman, M. (2021) Analytic moduli for parabolic Dulac germs. Russian mathematical surveys, 76 (3), 13-92 doi:10.1070/RM10001.
@article{article, author = {Marde\v{s}i\'{c}, Pavao and Resman, Maja}, year = {2021}, pages = {13-92}, DOI = {10.1070/RM10001}, keywords = {Almost regular germ, analytic invariants, Ecalle-Voronin moduli, Gevrey summability, transseries}, journal = {Russian mathematical surveys}, doi = {10.1070/RM10001}, volume = {76}, number = {3}, issn = {0036-0279}, title = {Analytic moduli for parabolic Dulac germs}, keyword = {Almost regular germ, analytic invariants, Ecalle-Voronin moduli, Gevrey summability, transseries} }
@article{article, author = {Marde\v{s}i\'{c}, Pavao and Resman, Maja}, year = {2021}, pages = {13-92}, DOI = {10.1070/RM10001}, keywords = {Almost regular germ, analytic invariants, Ecalle-Voronin moduli, Gevrey summability, transseries}, journal = {Russian mathematical surveys}, doi = {10.1070/RM10001}, volume = {76}, number = {3}, issn = {0036-0279}, title = {Analytic moduli for parabolic Dulac germs}, keyword = {Almost regular germ, analytic invariants, Ecalle-Voronin moduli, Gevrey summability, transseries} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts


Citati:





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