On invariant torus of weakly connected systems of differential equations

• Published in: Нелінійні коливання
• Date: 2005
• Main Author: Elnazarov, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/178018
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...