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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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Bibliographic Details
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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Summary: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.