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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 1, Pages 21–26
(Mi vmumm595)
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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
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
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
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https://www.mathnet.ru/eng/vmumm595 https://www.mathnet.ru/eng/vmumm/y2019/i1/p21
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Abstract page: | 171 | Full-text PDF : | 35 | References: | 28 | First page: | 7 |
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