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JOURNALS // Modelirovanie i Analiz Informatsionnykh Sistem // Archive

Model. Anal. Inform. Sist., 2013 Volume 20, Number 1, Pages 18–29 (Mi mais284)

This article is cited in 1 paper

Quasinormal Forms for Lang–Kobayashi Equations with a Large Control Coefficient

E. V. Grigorievaa, I. S. Kashchenkob, S. A. Kashchenkob

a Belarusian State Economic University, Minsk, Belarus
b P. G. Demidov Yaroslavl State University, Yaroslavl, Russia

Abstract: We study a model of single-mode semiconductor laser with the optical feedback. This model bases on DDE (Lang–Kobayashi model). With the help of local analysis methods we built a continuous set of quasinormal forms in the neighbourhood of critical values. The ability of coexistence of a large number of steady oscillating states is discussed.

Keywords: Lang–Kobayashi equation, large control, quasinormal form.

UDC: 517.9

Received: 25.01.2013



© Steklov Math. Inst. of RAS, 2025