Bogolyubov averaging and normalization procedures in nonlinear mechanics. II

• Published in: Український математичний журнал
• Date: 1994
• Main Authors: Mitropolsky, Yu.A., Lopatin, A.K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 1994
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164800
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Bogolyubov averaging and normalization procedures in nonlinear mechanics. II / Yu.A. Mitropolsky, A.K. Lopatin // Український математичний журнал. — 1994. — Т. 46, № 11. — С. 1509–1526. — Бібліогр.: 6 назв. — англ.

By using a new method suggested in the first part of the present work, we study systems which become linear in the zero approximation and have perturbations in the form of polynomials. This class of systems has numerous applications. The following fact is even more important: Our technique demonstra...