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 |
| _version_ | 1797877890897936384 |
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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. |
| first_indexed | 2024-04-10T02:25:10Z |
| format | Article |
| id | doaj.art-9ff9897a15c942499d2a6b9dfa46a55f |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2024-04-10T02:25:10Z |
| publishDate | 2015-02-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-9ff9897a15c942499d2a6b9dfa46a55f2023-03-13T08:07:33ZengYaroslavl 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/35уравнение стюарта–ландаумалый параметрбольшое запаздываниеустойчивостьпериодическое решение |
| spellingShingle | A. A. Kashchenko Stability of the Simplest Periodic Solutions in the Stuart–Landau Equation with Large Delay Моделирование и анализ информационных систем уравнение стюарта–ландау малый параметр большое запаздывание устойчивость периодическое решение |
| 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 | уравнение стюарта–ландау малый параметр большое запаздывание устойчивость периодическое решение |
| url | https://www.mais-journal.ru/jour/article/view/35 |
| work_keys_str_mv | AT aakashchenko stabilityofthesimplestperiodicsolutionsinthestuartlandauequationwithlargedelay |