Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 10, Pages 37–50
DOI: https://doi.org/10.26907/0021-3446-2021-10-37-50 (Mi ivm9719) 		 
Approximate calculation of the coefficients of the Dulac series

N. B. Medvedeva

Chelyabinsk State University, 129 Br. Kashirinykh str., Chelyabinsk, 454001 Russia
Full-text PDF (424 kB)
References:
PDF
HTML
DOI: https://doi.org/10.26907/0021-3446-2021-10-37-50
Abstract: An algorithm for the approximate calculation of the coefficients of the Dulac series (asymptotic series of the monodromy transformation) in the space of vector fields with a Newton diagram containing more than one edge and a monodromic singular point is proposed. The conditions for the applicability of this algorithm are obtained. The algorithm is implemented in the MAPLE package. Examples are given for the case of a Newton diagram consisting of two edges.
Keywords: Monodromic singular point, focus, center, monodromy transformation, Dulac series, correspondence mapping, Newton diagram, asymptotic representation, Hadamard integral.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00739_а
Received: 18.12.2020
Revised: 22.01.2021
Accepted: 30.03.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 10, Pages 31–43
DOI: https://doi.org/10.3103/S1066369X21100030
Document Type: Article
UDC: 517.9
Language: Russian
Citation: N. B. Medvedeva, “Approximate calculation of the coefficients of the Dulac series”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 10, 37–50; Russian Math. (Iz. VUZ), 65:10 (2021), 31–43
Citation in format AMSBIB
\Bibitem{Med21}
\by N.~B.~Medvedeva
\paper Approximate calculation of the coefficients of the Dulac series
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 10
\pages 37--50
\mathnet{http://mi.mathnet.ru/ivm9719}
\crossref{https://doi.org/10.26907/0021-3446-2021-10-37-50}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 10
\pages 31--43
\crossref{https://doi.org/10.3103/S1066369X21100030}
Linking options:
  • https://www.mathnet.ru/eng/ivm9719
  • https://www.mathnet.ru/eng/ivm/y2021/i10/p37
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025