Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 1, Pages 8–19 (Mi vmumm4445)  
This article is cited in 4 scientific papers (total in 4 papers)

Mathematics

Topology of integrable billiard in an ellipse on the Minkowski plane with the Hooke potential

V. V. Vedyushkina, A. I. Skvortsov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (3948 kB) Citations (4)
References:
PDF
HTML
Abstract: The integrability of billiards bounded by arcs of confocal quadrics in the Minkowski plane in a field with the Hooke potential is obtained. The case of this type of a billiard in an ellipse is studied in detail. The topology of Liouville foliations arising in this problem is also studied and Fomenko invariants are also constructed.
Key words: integrable system, billiard, Minkowski plane, Liouville equivalence, Fomenko invariant.
Funding agency Grant number
Russian Science Foundation 20-71-00155
Received: 17.08.2020
English version:
Moscow University Mathematics Bulletin, 2022, Volume 77, Issue 1, Pages 7–19
DOI: https://doi.org/10.3103/S0027132222010065
Bibliographic databases:
Document Type: Article
UDC: 517.938.5
Language: Russian
Citation: V. V. Vedyushkina, A. I. Skvortsov, “Topology of integrable billiard in an ellipse on the Minkowski plane with the Hooke potential”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 1, 8–19; Moscow University Mathematics Bulletin, 77:1 (2022), 7–19
Citation in format AMSBIB
\Bibitem{VedSkv22}
\by V.~V.~Vedyushkina, A.~I.~Skvortsov
\paper Topology of integrable billiard in an ellipse on the Minkowski plane with the Hooke potential
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2022
\issue 1
\pages 8--19
\mathnet{http://mi.mathnet.ru/vmumm4445}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4442657}
\zmath{https://zbmath.org/?q=an:7584497}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2022
\vol 77
\issue 1
\pages 7--19
\crossref{https://doi.org/10.3103/S0027132222010065}
Linking options:
  • https://www.mathnet.ru/eng/vmumm4445
  • https://www.mathnet.ru/eng/vmumm/y2022/i1/p8
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:147
    Full-text PDF :48
    References:20
    First page:13
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024