Local asymptotic analysis of model optoelectronic systems with delay

D. V. Glazkov

Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 190 (2021), pp. 57-80.

Résumé

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.

Détail

Keywords: mathematical model, differential equation with delay, semiconductor laser, small parameter, asymptotics, stability
Mots-clés : bifurcation.

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