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On invariant torus of weakly connected systems of differential equations

On invariant torus of weakly connected systems of differential equations

We consider a family of systems of differential equations depending on a sufficiently small parameter with zero value of which we obtained a couple of independent systems. We used the method of Green – Samoilenko function to construct an invariant manifold of the pertubed system and presented some...

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Main Author: Elnazarov, A.
Format: Article
Language:English
Published: Інститут математики НАН України 2005
Series:Нелінійні коливання
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/178018
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spelling irk-123456789-1780182021-02-18T01:27:55Z On invariant torus of weakly connected systems of differential equations Elnazarov, A. We consider a family of systems of differential equations depending on a sufficiently small parameter with zero value of which we obtained a couple of independent systems. We used the method of Green – Samoilenko function to construct an invariant manifold of the pertubed system and presented some examples for application. Розглянуто сiм’ю систем диференцiальних рiвнянь, що залежать вiд достатньо малого параметра, яка є парою незалежних систем, якщо значення параметра дорiвнює нулю. Використано метод функцiї Грiна – Самойленка для побудови iнварiантного многовиду збуреної системи та наведено приклади. 2005 Article On invariant torus of weakly connected systems of differential equations / A. Elnazarov // Нелінійні коливання. — 2005. — Т. 8, № 4. — С. 468-489. — Бібліогр.: 12 назв. — англ. 1562-3076 http://dspace.nbuv.gov.ua/handle/123456789/178018 517.9 en Нелінійні коливання Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description We consider a family of systems of differential equations depending on a sufficiently small parameter with zero value of which we obtained a couple of independent systems. We used the method of Green – Samoilenko function to construct an invariant manifold of the pertubed system and presented some examples for application.
format Article
author Elnazarov, A.
spellingShingle Elnazarov, A.
On invariant torus of weakly connected systems of differential equations
Нелінійні коливання
author_facet Elnazarov, A.
author_sort Elnazarov, A.
title On invariant torus of weakly connected systems of differential equations
title_short On invariant torus of weakly connected systems of differential equations
title_full On invariant torus of weakly connected systems of differential equations
title_fullStr On invariant torus of weakly connected systems of differential equations
title_full_unstemmed On invariant torus of weakly connected systems of differential equations
title_sort on invariant torus of weakly connected systems of differential equations
publisher Інститут математики НАН України
publishDate 2005
url http://dspace.nbuv.gov.ua/handle/123456789/178018
citation_txt On invariant torus of weakly connected systems of differential equations / A. Elnazarov // Нелінійні коливання. — 2005. — Т. 8, № 4. — С. 468-489. — Бібліогр.: 12 назв. — англ.
series Нелінійні коливання
work_keys_str_mv AT elnazarova oninvarianttorusofweaklyconnectedsystemsofdifferentialequations
first_indexed 2023-10-18T22:45:01Z
last_indexed 2023-10-18T22:45:01Z
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