Email this article Slow and rapid oscillations in an optoelectronic oscillator model with delay
- Authors: Grigorieva E.V.1,2, Kashenko S.A.3,2
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Affiliations:
- Belorussian State Economic University
- National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
- P.G. Demidov Yaroslavl State University
- Issue: Vol 484, No 1 (2019)
- Pages: 21-25
- Section: Mathematical physics
- URL: https://journals.eco-vector.com/0869-5652/article/view/12135
- DOI: https://doi.org/10.31857/S0869-5652484121-25
- ID: 12135
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Abstract
The local dynamics of an optoelectronic oscillator model characterized with feedback delay is investigated. In the neighborhood of the zero equilibrium state, normalized equations are constructed, which are boundary value problems depending on the continuumal parameter. Such problems are used to determine the asymptotic solutions of the original nonlinear system, mainly the frequencies and amplitudes of the components, in the form of a combination of slow and fast oscillations.
About the authors
E. V. Grigorieva
Belorussian State Economic University; National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Author for correspondence.
Email: grigorieva@tut.by
Russian Federation, 220672, Belarus, Minsk, Partizanski prospect, 26; 31, Kashirskoe shosse, Moscow, 115409
S. A. Kashenko
P.G. Demidov Yaroslavl State University; National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Email: kasch@uniyar.ac.ru
Russian Federation, 14, Sovetskaya street,Yaroslavl, 150003; 31, Kashirskoe shosse, Moscow, 115409
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