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Mathematics of the USSR-Sbornik, 1986, Volume 54, Issue 2, Pages 335–365
DOI: https://doi.org/10.1070/SM1986v054n02ABEH002974 (Mi sm1941) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On typical properties of level sets of Lyapunov exponents

V. M. Millionshchikov
English version PDF (1545 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM1986v054n02ABEH002974
Abstract: The level sets of Lyapunov exponents of linearized systems are considered as functions of the linearized Cauchy problem. It is proved that lower semicontinuity is a typical property for these functions. Typicality is understood in the Baire sense: a property is typical if it is possessed by a dense set of points which is a countable intersection of open sets.
Bibliography: 11 titles.
Received: 30.01.1984
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1985, Volume 126(168), Number 3, Pages 344–376
Bibliographic databases:
Document Type: Article
UDC: 517.938
MSC: 34C35, 34C40, 34D20, 58F10
Language: English
Original paper language: Russian
Citation: V. M. Millionshchikov, “On typical properties of level sets of Lyapunov exponents”, Mat. Sb. (N.S.), 126(168):3 (1985), 344–376; Math. USSR-Sb., 54:2 (1986), 335–365
Citation in format AMSBIB
\Bibitem{Mil85}
\by V.~M.~Millionshchikov
\paper On typical properties of level sets of Lyapunov exponents
\jour Mat. Sb. (N.S.)
\yr 1985
\vol 126(168)
\issue 3
\pages 344--376
\mathnet{http://mi.mathnet.ru/sm1941}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=783951}
\zmath{https://zbmath.org/?q=an:0617.34044}
\transl
\jour Math. USSR-Sb.
\yr 1986
\vol 54
\issue 2
\pages 335--365
\crossref{https://doi.org/10.1070/SM1986v054n02ABEH002974}
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  • https://www.mathnet.ru/eng/sm/v168/i3/p344
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:304
    Russian version PDF:102
    English version PDF:8
    References:53
    First page:2
     
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