The method of Lie series in the motion-separation problem in nonlinear mechanics

DOI10.1016/0021-8928(83)90083-7zbMath0562.70022OpenAlexW2051403275MaRDI QIDQ1057083

V. F. Zhuravlev

Publication date: 1984

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(83)90083-7

zbMATH Keywords

resonanceDuffing equationLie generatorLie seriesadjoint variablescanonical replacementmotion-separation problemmultifrequency systems

Mathematics Subject Classification ID

Hamilton's equations (70H05) Applications of Lie groups to the sciences; explicit representations (22E70) Nonlinear dynamics in mechanics (70K99)

Related Items (1)

Applying the method of normal forms to second-order nonlinear vibration problems

Cites Work

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