The Dynamics of the Logistic Equation with Delay and Delayed Control
Dynamical properties of a logistic equation with delay and delay control are studied by asymptotic methods. It is shown that effective control of characteristics of relaxation cycle is possible. A new method for studying the dynamics in the case of suffitiently large delay control coeffitient is wor...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2014-10-01
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| Series: | Моделирование и анализ информационных систем |
| Subjects: | |
| Online Access: | https://www.mais-journal.ru/jour/article/view/85 |
| _version_ | 1797877896924102656 |
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| author | S. A. Kaschenko |
| author_facet | S. A. Kaschenko |
| author_sort | S. A. Kaschenko |
| collection | DOAJ |
| description | Dynamical properties of a logistic equation with delay and delay control are studied by asymptotic methods. It is shown that effective control of characteristics of relaxation cycle is possible. A new method for studying the dynamics in the case of suffitiently large delay control coeffitient is worked out. It is found that the original problem of the dynamics of equations with delays is reduced to the problem of non-local dynamics of special nonlinear boundary value problems of parabolic type. |
| first_indexed | 2024-04-10T02:25:16Z |
| format | Article |
| id | doaj.art-b96a63a73fe04c2899ca1219d140256a |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2024-04-10T02:25:16Z |
| publishDate | 2014-10-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-b96a63a73fe04c2899ca1219d140256a2023-03-13T08:07:32ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172014-10-01215617710.18255/1818-1015-2014-5-61-7779The Dynamics of the Logistic Equation with Delay and Delayed ControlS. A. Kaschenko0Ярославский государственный университет им. П.Г. ДемидоваDynamical properties of a logistic equation with delay and delay control are studied by asymptotic methods. It is shown that effective control of characteristics of relaxation cycle is possible. A new method for studying the dynamics in the case of suffitiently large delay control coeffitient is worked out. It is found that the original problem of the dynamics of equations with delays is reduced to the problem of non-local dynamics of special nonlinear boundary value problems of parabolic type.https://www.mais-journal.ru/jour/article/view/85релаксационные колебаниябольшой параметрасимптотиказапаздываниепериодическое решение |
| spellingShingle | S. A. Kaschenko The Dynamics of the Logistic Equation with Delay and Delayed Control Моделирование и анализ информационных систем релаксационные колебания большой параметр асимптотика запаздывание периодическое решение |
| title | The Dynamics of the Logistic Equation with Delay and Delayed Control |
| title_full | The Dynamics of the Logistic Equation with Delay and Delayed Control |
| title_fullStr | The Dynamics of the Logistic Equation with Delay and Delayed Control |
| title_full_unstemmed | The Dynamics of the Logistic Equation with Delay and Delayed Control |
| title_short | The Dynamics of the Logistic Equation with Delay and Delayed Control |
| title_sort | dynamics of the logistic equation with delay and delayed control |
| topic | релаксационные колебания большой параметр асимптотика запаздывание периодическое решение |
| url | https://www.mais-journal.ru/jour/article/view/85 |
| work_keys_str_mv | AT sakaschenko thedynamicsofthelogisticequationwithdelayanddelayedcontrol AT sakaschenko dynamicsofthelogisticequationwithdelayanddelayedcontrol |