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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| Published in: | Нелінійні коливання |
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| Date: | 2005 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2005
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/178018 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| 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.
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.
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| ISSN: | 1562-3076 |