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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2021 Volume 190, Pages 57–80 (Mi into751)

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.

UDC: 517.929

MSC: 34E10, 39A10, 39A11

DOI: 10.36535/0233-6723-2021-190-57-80



© Steklov Math. Inst. of RAS, 2024