Bogolyubov averaging and normalization procedures in nonlinear mechanics. III

We describe the technique of normalization based on the method of asymptotic decomposition in the space of representation of a finite-dimensional Lie group. The main topics of the theory necessary for understanding the method are outlined. Models based on the Van der Pol equation are investigated by...

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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
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/164934
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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. III / Yu.A. Mitropolsky, A.K. Lopatin // Український математичний журнал. — 1994. — Т. 46, № 12. — С. 1627–1646. — Бібліогр.: 5 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine