Normalization and averaging on compact lie groups in nonlinear mechanics

• Published in: Український математичний журнал
• Date: 1997
• Main Author: Lopatin, A.K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 1997
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164147
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Normalization and averaging on compact lie groups in nonlinear mechanics / A.K. Lopatin // Український математичний журнал. — 1997. — Т. 49, № 1. — С. 47–67. — Бібліогр.: 22 назв. — англ.

We consider the method of normal forms, the Bogolyubov averaging method, and the method of asymptotic decomposition proposed by Yu. A. Mitropol’skii and the author of this paper. Under certain assumptions about group-theoretic properties of a system of zero approximation, the results obtained by the...