Email this article Slow and Fast Oscillations in a Model of an Optoelectronic Oscillator with Delay
- Authors: Grigorieva E.V.1,2, Kashchenko S.A.3,2
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Affiliations:
- Belarus State Economic University
- National Research Nuclear University “MEPhI”
- Yaroslavl State University
- Issue: Vol 99, No 1 (2019)
- Pages: 95-98
- Section: Mathematical Physics
- URL: https://journal-vniispk.ru/1064-5624/article/view/225631
- DOI: https://doi.org/10.1134/S1064562419010022
- ID: 225631
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Abstract
The local dynamics of a well-known model of an optoelectronic oscillator with delayed feedback is studied. In a neighborhood of zero equilibrium, normalized equations are constructed which are boundary value problems depending on a continual parameter. Asymptotic solutions of the original nonlinear system in the form of a combination of slow and fast oscillations are obtained by solving the boundary value problems. The frequencies and amplitudes of the components of these solutions are determined.
About the authors
E. V. Grigorieva
Belarus State Economic University; National Research Nuclear University “MEPhI”
Author for correspondence.
Email: grigorieva@tut.by
Belarus, Minsk, 220070; Moscow, 115409
S. A. Kashchenko
Yaroslavl State University; National Research Nuclear University “MEPhI”
Author for correspondence.
Email: kasch@uniyar.ac.ru
Russian Federation, Yaroslavl, 150000; Moscow, 115409
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