Bogolyubov averaging and normalization procedures in nonlinear mechanics. IV

In this paper, we apply the theory developed in parts I-III to some classes of problems. We consider linear systems in zero approximation and investigate the problem of invariance of integral manifolds under perturbations. Unlike nonlinear systems, linear ones have centralized systems, which are al...

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Bibliographic Details
Date:1995
Main Authors: Lopatin, A.K., Mitropolskiy, Yu.A.
Format: Article
Language:English
Published: Інститут математики НАН України 1995
Series:Український математичний журнал
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Bogolyubov averaging and normalization procedures in nonlinear mechanics. IV / A.K. Lopatin, Yu.A. Mitropolskiy // Український математичний журнал. — 1995. — Т. 47, № 8. — С. 1044–1068. — Бібліогр.: 5 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine