Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find






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


Sbornik: Mathematics, 2017, Volume 208, Issue 5, Pages 620–643
DOI: https://doi.org/10.1070/SM8809
(Mi sm8809)
 

This article is cited in 3 scientific papers (total in 3 papers)

Baire classes of Lyapunov invariants

V. V. Bykov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
References:
Abstract: It is shown that no relations exist (apart from inherent ones) between Baire classes of Lyapunov transformation invariants in the compact-open and uniform topologies on the space of linear differential systems.
It is established that if a functional on the space of linear differential systems with the compact-open topology is the repeated limit of a multisequence of continuous functionals, then these can be chosen to be determined by the values of system coefficients on a finite interval of the half-line (one for each functional).
It is proved that the Lyapunov exponents cannot be represented as the limit of a sequence of (not necessarily continuous) functionals such that each of these depends only on the restriction of the system to a finite interval of the half-line.
Bibliography: 28 titles.
Keywords: linear differential systems, asymptotic equivalence, Lyapunov exponents, Baire classes.
Received: 01.09.2016 and 06.12.2016
Russian version:
Matematicheskii Sbornik, 2017, Volume 208, Number 5, Pages 38–62
DOI: https://doi.org/10.4213/sm8809
Bibliographic databases:
UDC: 517.926.4
MSC: Primary 34D08; Secondary 34A30
Language: English
Original paper language: Russian
Citation: V. V. Bykov, “Baire classes of Lyapunov invariants”, Mat. Sb., 208:5 (2017), 38–62; Sb. Math., 208:5 (2017), 620–643
Citation in format AMSBIB
\Bibitem{Byk17}
\by V.~V.~Bykov
\paper Baire classes of Lyapunov invariants
\jour Mat. Sb.
\yr 2017
\vol 208
\issue 5
\pages 38--62
\mathnet{http://mi.mathnet.ru/sm8809}
\crossref{https://doi.org/10.4213/sm8809}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3646486}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2017SbMat.208..620B}
\elib{https://elibrary.ru/item.asp?id=29106640}
\transl
\jour Sb. Math.
\yr 2017
\vol 208
\issue 5
\pages 620--643
\crossref{https://doi.org/10.1070/SM8809}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000405686500002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85025102432}
Linking options:
  • https://www.mathnet.ru/eng/sm8809
  • https://doi.org/10.1070/SM8809
  • https://www.mathnet.ru/eng/sm/v208/i5/p38
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:441
    Russian version PDF:57
    English version PDF:22
    References:70
    First page:14
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024