Bogolyubov averaging and normalization procedures in nonlinear mechanics. IV

• Published in: Український математичний журнал
• Date: 1995
• Main Authors: Lopatin, A.K., Mitropolskiy, Yu.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 1995
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164245
• 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.

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...