Bogolyubov averaging and normalization procedures in nonlinear mechanics. I

A new method of asymptotic analysis of nonlinear dynamical systems is developed with extensive use of group-theoretical methods. The technique of normalization, which is named an "asymptotic decomposition" by the authors, is developed in the context of Bogolyubov averaging. In this paper,...

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Bibliographic Details
Date:1994
Main Authors: Mitropolsky, Yu.A., Lopatin, A.K.
Format: Article
Language:English
Published: Інститут математики НАН України 1994
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/157638
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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. I / Yu.A. Mitropolsky, A.K. Lopatin // Український математичний журнал. — 1994. — Т. 46, № 09. — С. 1171–1188. — Бібліогр.: 36 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine