Normalization and averaging on compact lie groups in nonlinear mechanics

DOI10.1007/BF02486616zbMATH Open0932.34041WikidataQ115392114 ScholiaQ115392114MaRDI QIDQ4380949

Alexey K. Lopatin

Publication date: 17 March 1998

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

normal formaveragingcompact Lie groupnonlinear oscillatorasymptotic decompositionLie series

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) Asymptotic expansions of solutions to ordinary differential equations (34E05) Local Lie groups (22E05)

Related Items (4)

Normalization and averaging on compact lie groups in nonlinear mechanics ⋮ Unnamed Item ⋮ Bogolyubov averaging and normalization procedures in nonlinear mechanics. II ⋮ Factorization of matrices of permutation type

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