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

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

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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...

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Main Authors: E. V. Grigorieva, I. S. Kashchenko, S. A. Kashchenko
Format: Article
Language:English
Published: Yaroslavl State University 2013-01-01
Series:Modelirovanie i Analiz Informacionnyh Sistem
Subjects:
уравнение Лэнга–Кобаяши
большое управление
квазинормальная форма
Online Access:http://mais-journal.ru/jour/article/view/218
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spelling doaj-1c81df5711b94517a961101ff4c018f82020-11-24T21:06:45ZengYaroslavl State UniversityModelirovanie i Analiz Informacionnyh Sistem1818-10152313-54172013-01-012011829211Quasinormal Forms for Lang–Kobayashi Equations with a Large Control CoefficientE. V. Grigorieva0I. S. Kashchenko1S. A. Kashchenko2Белорусский государственный экономический университетЯрославский государственный университет им. П. Г. ДемидоваЯрославский государственный университет им. П.Г. ДемидоваWe 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.http://mais-journal.ru/jour/article/view/218уравнение Лэнга–Кобаяшибольшое управлениеквазинормальная форма
collection DOAJ
language English
format Article
sources DOAJ
author E. V. Grigorieva
I. S. Kashchenko
S. A. Kashchenko
spellingShingle E. V. Grigorieva
I. S. Kashchenko
S. A. Kashchenko
Quasinormal Forms for Lang–Kobayashi Equations with a Large Control Coefficient
Modelirovanie i Analiz Informacionnyh Sistem
уравнение Лэнга–Кобаяши
большое управление
квазинормальная форма
author_facet E. V. Grigorieva
I. S. Kashchenko
S. A. Kashchenko
author_sort E. V. Grigorieva
title Quasinormal Forms for Lang–Kobayashi Equations with a Large Control Coefficient
title_short Quasinormal Forms for Lang–Kobayashi Equations with a Large Control Coefficient
title_full Quasinormal Forms for Lang–Kobayashi Equations with a Large Control Coefficient
title_fullStr Quasinormal Forms for Lang–Kobayashi Equations with a Large Control Coefficient
title_full_unstemmed Quasinormal Forms for Lang–Kobayashi Equations with a Large Control Coefficient
title_sort quasinormal forms for lang–kobayashi equations with a large control coefficient
publisher Yaroslavl State University
series Modelirovanie i Analiz Informacionnyh Sistem
issn 1818-1015
2313-5417
publishDate 2013-01-01
description 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.
topic уравнение Лэнга–Кобаяши
большое управление
квазинормальная форма
url http://mais-journal.ru/jour/article/view/218
work_keys_str_mv AT evgrigorieva quasinormalformsforlangkobayashiequationswithalargecontrolcoefficient
AT iskashchenko quasinormalformsforlangkobayashiequationswithalargecontrolcoefficient
AT sakashchenko quasinormalformsforlangkobayashiequationswithalargecontrolcoefficient
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