The Dynamics of the Logistic Equation with Delay and Delayed Control

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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Bibliographic Details
Main Author: S. A. Kaschenko
Format: Article
Language:English
Published: Yaroslavl State University 2014-10-01
Series:Modelirovanie i Analiz Informacionnyh Sistem
Subjects:
relaxation oscillations
large parameter
asymptotic behavior
delay
periodic solution
Online Access:https://www.mais-journal.ru/jour/article/view/85
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spelling doaj-b96a63a73fe04c2899ca1219d140256a2021-07-29T08:15:19ZengYaroslavl State UniversityModelirovanie i Analiz Informacionnyh Sistem1818-10152313-54172014-10-01215617710.18255/1818-1015-2014-5-61-7779The 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
collection DOAJ
language English
format Article
sources DOAJ
author S. A. Kaschenko
spellingShingle S. A. Kaschenko
The Dynamics of the Logistic Equation with Delay and Delayed Control
Modelirovanie i Analiz Informacionnyh Sistem
relaxation oscillations
large parameter
asymptotic behavior
delay
periodic solution
author_facet S. A. Kaschenko
author_sort S. A. Kaschenko
title 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_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_sort dynamics of the logistic equation with delay and delayed control
publisher Yaroslavl State University
series Modelirovanie i Analiz Informacionnyh Sistem
issn 1818-1015
2313-5417
publishDate 2014-10-01
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.
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
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