Geodesic
Local asymptotic analysis of model optoelectronic systems with delay
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

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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
Mots-clés : bifurcation. 
@article{INTO_2021_190_a5,
     author = {D. V. Glazkov},
     title = {Local asymptotic analysis of model optoelectronic systems with delay},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {57--80},
     publisher = {mathdoc},
     volume = {190},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_190_a5/}
}
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D. V. Glazkov. Local asymptotic analysis of model optoelectronic systems with delay. 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. http://geodesic.mathdoc.fr/item/INTO_2021_190_a5/