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Local asymptotic analysis of model optoelectronic systems with delay
D. V. Glazkov P.G. Demidov Yaroslavl State University
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.
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
Linking options:
https://www.mathnet.ru/eng/into751 https://www.mathnet.ru/eng/into/v190/p57
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