Time scales and the asymptotics for the solutionsof discrete adiabatic oscillators

We develop a method of averaging for the study of linear systems of dynamic equations on time scales. We use the obtained results to construct the asymptotics for the solutions of some equations of discrete adiabatic oscillators.

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Main Author: P. N. Nesterov
Format: Article
Language:English
Published: Yaroslavl State University 2011-03-01
Series:Моделирование и анализ информационных систем
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/1071
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author P. N. Nesterov
author_facet P. N. Nesterov
author_sort P. N. Nesterov
collection DOAJ
description We develop a method of averaging for the study of linear systems of dynamic equations on time scales. We use the obtained results to construct the asymptotics for the solutions of some equations of discrete adiabatic oscillators.
format Article
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institution DOAJ
issn 1818-1015
2313-5417
language English
publishDate 2011-03-01
publisher Yaroslavl State University
record_format Article
series Моделирование и анализ информационных систем
spelling doaj-art-d511ac1f8acf4eb48c10b7b805ea05572025-08-20T03:22:04ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172011-03-01181527812Time scales and the asymptotics for the solutionsof discrete adiabatic oscillatorsP. N. Nesterov0Ярославский государственный университет им. П.Г. ДемидоваWe develop a method of averaging for the study of linear systems of dynamic equations on time scales. We use the obtained results to construct the asymptotics for the solutions of some equations of discrete adiabatic oscillators.https://www.mais-journal.ru/jour/article/view/1071discrete adiabatic oscillatortime scalemethod of averagingasymptotics
spellingShingle P. N. Nesterov
Time scales and the asymptotics for the solutionsof discrete adiabatic oscillators
Моделирование и анализ информационных систем
discrete adiabatic oscillator
time scale
method of averaging
asymptotics
title Time scales and the asymptotics for the solutionsof discrete adiabatic oscillators
title_full Time scales and the asymptotics for the solutionsof discrete adiabatic oscillators
title_fullStr Time scales and the asymptotics for the solutionsof discrete adiabatic oscillators
title_full_unstemmed Time scales and the asymptotics for the solutionsof discrete adiabatic oscillators
title_short Time scales and the asymptotics for the solutionsof discrete adiabatic oscillators
title_sort time scales and the asymptotics for the solutionsof discrete adiabatic oscillators
topic discrete adiabatic oscillator
time scale
method of averaging
asymptotics
url https://www.mais-journal.ru/jour/article/view/1071
work_keys_str_mv AT pnnesterov timescalesandtheasymptoticsforthesolutionsofdiscreteadiabaticoscillators