Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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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)
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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
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    • This publication is cited in the following 4 articles:
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