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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 190, Pages 57–80
DOI: https://doi.org/10.36535/0233-6723-2021-190-57-80
(Mi into751)
 

Local asymptotic analysis of model optoelectronic systems with delay

D. V. Glazkov

P.G. Demidov Yaroslavl State University
References:
Abstract: In this paper, we examine several models of optoelectronic systems with delayed feedback that are generalizations of the well-known Lang–Kobayashi model of semiconductor lasers. We propose new reduced equations that describe the dynamics of the original systems in a neighborhood of limit families of periodic solutions for asymptotically large values of a parameter of the problem. Using numerical and analytical methods, we obtain some applied conclusions.
Keywords: mathematical model, differential equation with delay, semiconductor laser, small parameter, asymptotics, stability, bifurcation.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10043
This work was supported by the Russian Foundation for Basic Research (project № 18-29-10043).
English version:
Journal of Mathematical Sciences (New York), 2025, Volume 288, Issue 1, Pages 55–79
DOI: https://doi.org/10.1007/s10958-025-07665-9
Document Type: Article
UDC: 517.929
MSC: 34E10, 39A10, 39A11
Language: Russian
Citation: D. V. Glazkov, “Local asymptotic analysis of model optoelectronic systems with delay”, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 190, VINITI, Moscow, 2021, 57–80; J. Math. Sci. (N. Y.), 288:1 (2025), 55–79
Citation in format AMSBIB
\Bibitem{Gla21}
\by D.~V.~Glazkov
\paper Local asymptotic analysis of model optoelectronic systems with delay
\inbook Proceedings of the Voronezh spring mathematical school
“Modern methods of the theory of boundary-value problems. Pontryagin
readings – XXX”.
Voronezh, May 3-9, 2019. Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 190
\pages 57--80
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into751}
\crossref{https://doi.org/10.36535/0233-6723-2021-190-57-80}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2025
\vol 288
\issue 1
\pages 55--79
\crossref{https://doi.org/10.1007/s10958-025-07665-9}
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    Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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