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, 2021, Number 3, Pages 41–46 (Mi vmumm4402)  
This article is cited in 4 scientific papers (total in 4 papers)

Mathematics

The definition of the indices of oscillation, rotation, and wandering of nonlinear differential systems

I. N. Sergeev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (369 kB) Citations (4)
References:
PDF
HTML
Abstract: The definitions of the indices of oscillation, rotation and wandering, similar to the Lyapunov exponents and suitable for nonlinear systems are given. Definitions are valid even when solutions are not defined on the entire positive time semiaxis. The coincidence of the new indicators with those previously known in the case of a linear system is established. Various relationships between these indicators have been studied.
Key words: differential system, nonlinear system, Lyapunov exponents, characteristic frequencies, oscillation, rotation, wandering.
Received: 18.01.2021
English version:
Moscow University Mathematics Bulletin, 2021, Volume 76, Issue 3, Pages 129–134
DOI: https://doi.org/10.3103/S0027132221030074
Bibliographic databases:
Document Type: Article
UDC: 517.925.5
Language: Russian
Citation: I. N. Sergeev, “The definition of the indices of oscillation, rotation, and wandering of nonlinear differential systems”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 3, 41–46; Moscow University Mathematics Bulletin, 76:3 (2021), 129–134
Citation in format AMSBIB
\Bibitem{Ser21}
\by I.~N.~Sergeev
\paper The definition of the indices of oscillation, rotation, and wandering of nonlinear differential systems
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2021
\issue 3
\pages 41--46
\mathnet{http://mi.mathnet.ru/vmumm4402}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4317666}
\zmath{https://zbmath.org/?q=an:7432172}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2021
\vol 76
\issue 3
\pages 129--134
\crossref{https://doi.org/10.3103/S0027132221030074}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000696545000005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85115150283}
Linking options:
  • https://www.mathnet.ru/eng/vmumm4402
  • https://www.mathnet.ru/eng/vmumm/y2021/i3/p41
    • 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:116
    Full-text PDF :43
    References:15
    First page:7
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024