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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Yaroslavl State University
2014-10-01
|
| Series: | Моделирование и анализ информационных систем |
| Subjects: | |
| Online Access: | https://www.mais-journal.ru/jour/article/view/85 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850023992118738944 |
|---|---|
| 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. |
| format | Article |
| id | doaj-art-b96a63a73fe04c2899ca1219d140256a |
| institution | DOAJ |
| issn | 1818-1015 2313-5417 |
| language | English |
| publishDate | 2014-10-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj-art-b96a63a73fe04c2899ca1219d140256a2025-08-20T03:01:14ZengYaroslavl 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. Kaschenko0P.G. Demidov Yaroslavl State UniversityDynamical 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/85relaxation oscillationslarge parameterasymptotic behaviordelayperiodic solution |
| spellingShingle | S. A. Kaschenko The Dynamics of the Logistic Equation with Delay and Delayed Control Моделирование и анализ информационных систем relaxation oscillations large parameter asymptotic behavior delay periodic solution |
| 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 | relaxation oscillations large parameter asymptotic behavior delay periodic solution |
| url | https://www.mais-journal.ru/jour/article/view/85 |
| work_keys_str_mv | AT sakaschenko thedynamicsofthelogisticequationwithdelayanddelayedcontrol AT sakaschenko dynamicsofthelogisticequationwithdelayanddelayedcontrol |