Email this article Oscillation, Rotation, and Wandering of Solutions to Linear Differential Systems
- Authors: Sergeev I.N.1
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Affiliations:
- M. V. Lomonosov Moscow State University
- Issue: Vol 230, No 5 (2018)
- Pages: 770-774
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/240927
- DOI: https://doi.org/10.1007/s10958-018-3787-z
- ID: 240927
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Abstract
For solutions of a linear system on the semi-axis, we introduce a series of Lyapunov exponents that describe the oscillation, rotation, and wandering properties of these solutions. In the case of systems with constant matrices, these exponents are closely related to the imaginary parts of the eigenvalues. We examine the problem on the existence of a similar relationship in the case of piecewise constant of arbitrary systems.
About the authors
I. N. Sergeev
M. V. Lomonosov Moscow State University
Author for correspondence.
Email: igniserg@gmail.com
Russian Federation, Moscow
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