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

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.

Full text: PDF file (353 kB)
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UDC: 517.9
Received: 25.01.2013

Citation: E. V. Grigorieva, I. S. Kashchenko, S. A. Kashchenko, “Quasinormal Forms for Lang–Kobayashi Equations with a Large Control Coefficient”, Model. Anal. Inform. Sist., 20:1 (2013), 18–29

Citation in format AMSBIB
\Bibitem{GriKasKas13}
\by E.~V.~Grigorieva, I.~S.~Kashchenko, S.~A.~Kashchenko
\paper Quasinormal Forms for Lang--Kobayashi Equations with a Large Control Coefficient
\jour Model. Anal. Inform. Sist.
\yr 2013
\vol 20
\issue 1
\pages 18--29
\mathnet{http://mi.mathnet.ru/mais284}


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