Stability of the Simplest Periodic Solutions in the Stuart–Landau Equation with Large Delay
We study the local dynamics of the Stuart–Landau equation with large delay in the neibourhood of periodic solutions. We find sufficient conditions of instability of periodic solutions and sufficient conditions of their stability.
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2015-02-01
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| Series: | Моделирование и анализ информационных систем |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/35 |
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| _version_ | 1849338796202524672 |
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| author | A. A. Kashchenko |
| author_facet | A. A. Kashchenko |
| author_sort | A. A. Kashchenko |
| collection | DOAJ |
| description | We study the local dynamics of the Stuart–Landau equation with large delay in the neibourhood of periodic solutions. We find sufficient conditions of instability of periodic solutions and sufficient conditions of their stability. |
| format | Article |
| id | doaj-art-9ff9897a15c942499d2a6b9dfa46a55f |
| institution | Kabale University |
| issn | 1818-1015 2313-5417 |
| language | English |
| publishDate | 2015-02-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj-art-9ff9897a15c942499d2a6b9dfa46a55f2025-08-20T03:44:18ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172015-02-0119313614110.18255/1818-1015-2012-3-136-14129Stability of the Simplest Periodic Solutions in the Stuart–Landau Equation with Large DelayA. A. Kashchenko0Ярославский государственный университет им. П.Г. ДемидоваWe study the local dynamics of the Stuart–Landau equation with large delay in the neibourhood of periodic solutions. We find sufficient conditions of instability of periodic solutions and sufficient conditions of their stability.https://www.mais-journal.ru/jour/article/view/35stuart—landau equationsmall parameterlarge delaystabilityperiodic solution |
| spellingShingle | A. A. Kashchenko Stability of the Simplest Periodic Solutions in the Stuart–Landau Equation with Large Delay Моделирование и анализ информационных систем stuart—landau equation small parameter large delay stability periodic solution |
| title | Stability of the Simplest Periodic Solutions in the Stuart–Landau Equation with Large Delay |
| title_full | Stability of the Simplest Periodic Solutions in the Stuart–Landau Equation with Large Delay |
| title_fullStr | Stability of the Simplest Periodic Solutions in the Stuart–Landau Equation with Large Delay |
| title_full_unstemmed | Stability of the Simplest Periodic Solutions in the Stuart–Landau Equation with Large Delay |
| title_short | Stability of the Simplest Periodic Solutions in the Stuart–Landau Equation with Large Delay |
| title_sort | stability of the simplest periodic solutions in the stuart landau equation with large delay |
| topic | stuart—landau equation small parameter large delay stability periodic solution |
| url | https://www.mais-journal.ru/jour/article/view/35 |
| work_keys_str_mv | AT aakashchenko stabilityofthesimplestperiodicsolutionsinthestuartlandauequationwithlargedelay |