Normalization and averaging on compact lie groups in nonlinear mechanics

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...

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Datum:1997
1. Verfasser: Lopatin, A.K.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 1997
Schriftenreihe:Український математичний журнал
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine