Open AccessQuasinormal Forms for Lang–Kobayashi Equations with a Large Control Coefficient
Author(s) -
V. N. Grigoreva,
С. А. Кащенко,
Александрович Кащенко
Publication year - 2015
Publication title -
modelirovanie i analiz informacionnyh sistem
Language(s) - English
Resource type - Journals
eISSN - 2313-5417
pISSN - 1818-1015
DOI - 10.18255/1818-1015-2013-1-18-29
Subject(s) - neighbourhood (mathematics) , mathematics , laser , mathematical analysis , physics , statistical physics , optics
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.