Local dynamics of an equation with long delay feedback
We study the local dynamics of a nonlinear complex DDE with large delay in the vicinity of the zero solution. The quasinormal forms method is used for the problem analysis. We show that parabolic type GL-equations act as normal forms in critical cases of the infinite dimension.
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2011-03-01
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| Series: | Моделирование и анализ информационных систем |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/1078 |
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| _version_ | 1849688187210825728 |
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| author | D. V. Glazkov |
| author_facet | D. V. Glazkov |
| author_sort | D. V. Glazkov |
| collection | DOAJ |
| description | We study the local dynamics of a nonlinear complex DDE with large delay in the vicinity of the zero solution. The quasinormal forms method is used for the problem analysis. We show that parabolic type GL-equations act as normal forms in critical cases of the infinite dimension. |
| format | Article |
| id | doaj-art-d974a154fb8542cc805a8b9376de1c05 |
| institution | DOAJ |
| issn | 1818-1015 2313-5417 |
| language | English |
| publishDate | 2011-03-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj-art-d974a154fb8542cc805a8b9376de1c052025-08-20T03:22:04ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172011-03-011817585819Local dynamics of an equation with long delay feedbackD. V. Glazkov0Ярославский государственный университет им. П.Г. ДемидоваWe study the local dynamics of a nonlinear complex DDE with large delay in the vicinity of the zero solution. The quasinormal forms method is used for the problem analysis. We show that parabolic type GL-equations act as normal forms in critical cases of the infinite dimension.https://www.mais-journal.ru/jour/article/view/1078delaylaser modelnormal formasymptotic formulasmall parameter |
| spellingShingle | D. V. Glazkov Local dynamics of an equation with long delay feedback Моделирование и анализ информационных систем delay laser model normal form asymptotic formula small parameter |
| title | Local dynamics of an equation with long delay feedback |
| title_full | Local dynamics of an equation with long delay feedback |
| title_fullStr | Local dynamics of an equation with long delay feedback |
| title_full_unstemmed | Local dynamics of an equation with long delay feedback |
| title_short | Local dynamics of an equation with long delay feedback |
| title_sort | local dynamics of an equation with long delay feedback |
| topic | delay laser model normal form asymptotic formula small parameter |
| url | https://www.mais-journal.ru/jour/article/view/1078 |
| work_keys_str_mv | AT dvglazkov localdynamicsofanequationwithlongdelayfeedback |