Quasinormal Forms for Lang–Kobayashi Equations with a Large Control Coefficient
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2013-02-01
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| Series: | Моделирование и анализ информационных систем |
| Subjects: | |
| Online Access: | https://www.mais-journal.ru/jour/article/view/218 |
| _version_ | 1826559016862482432 |
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| author | E. V. Grigorieva I. S. Kashchenko S. A. Kashchenko |
| author_facet | E. V. Grigorieva I. S. Kashchenko S. A. Kashchenko |
| author_sort | E. V. Grigorieva |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-10T02:25:49Z |
| format | Article |
| id | doaj.art-2be8645e0d214338af9e292577591e1c |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2025-03-14T08:53:41Z |
| publishDate | 2013-02-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-2be8645e0d214338af9e292577591e1c2025-03-02T12:46:54ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172013-02-01201182910.18255/1818-1015-2013-1-18-29211Quasinormal Forms for Lang–Kobayashi Equations with a Large Control CoefficientE. V. Grigorieva0I. S. Kashchenko1S. A. Kashchenko2Belarus State Economical UniversityP.G. Demidov Yaroslavl State UniversityP.G. Demidov Yaroslavl State UniversityWe 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.https://www.mais-journal.ru/jour/article/view/218lang–kobayashi equationlarge controlquasinormal form |
| spellingShingle | E. V. Grigorieva I. S. Kashchenko S. A. Kashchenko Quasinormal Forms for Lang–Kobayashi Equations with a Large Control Coefficient Моделирование и анализ информационных систем lang–kobayashi equation large control quasinormal form |
| title | 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_short | Quasinormal Forms for Lang–Kobayashi Equations with a Large Control Coefficient |
| title_sort | quasinormal forms for lang kobayashi equations with a large control coefficient |
| topic | lang–kobayashi equation large control quasinormal form |
| url | https://www.mais-journal.ru/jour/article/view/218 |
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