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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Date: | 1994 |
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Main Authors: | Mitropolsky, Yu.A., Lopatin, A.K. |
Format: | Article |
Language: | English |
Published: |
Інститут математики НАН України
1994
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Series: | Український математичний журнал |
Subjects: | |
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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