Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 1, Pages 21–26 (Mi vmumm595)  
This article is cited in 6 scientific papers (total in 6 papers)

Mathematics

Oscillation, rotatability, and wandering characteristic indicators for differential systems determining rotations of plane

I. N. Sergeev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (239 kB) Citations (6)
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Abstract: The oscillation, rotatability, and wandering characteristic indicators of Lyapunov type are studied for two-dimensional linear homogeneous differential systems that determine rotations of the phase plane. A complete set of order relations between them is obtained. For each of those indicators it is established whether it is continuous or discontinuous as a function of the coefficient of the system.
Key words: differential equations, linear systems, Lyapunov exponents, oscillation, rotatability, wandering, plane rotations.
Received: 27.08.2018
English version:
Moscow University Mathematics Bulletin, 2019, Volume 74, Issue 1, Pages 20–24
DOI: https://doi.org/10.3103/S0027132219010042
Bibliographic databases:
Document Type: Article
UDC: 517.926.4
Language: Russian
Citation: I. N. Sergeev, “Oscillation, rotatability, and wandering characteristic indicators for differential systems determining rotations of plane”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 1, 21–26; Moscow University Mathematics Bulletin, 74:1 (2019), 20–24
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :35
    References:28
    First page:7
     
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