Principle of averaging in nonlinear mechanics

DOI10.1007/BF00886115zbMath0451.70002OpenAlexW2162470369MaRDI QIDQ3898047

Anatoly Martynyuk

Publication date: 1979

Published in: Soviet Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00886115

zbMATH Keywords

perturbation methodsprinciple of averagingBogolyubov principlenearness of the solutionprinciple of S. A. Chaplyginsecond method of A. M. Lyapunov

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Orbital mechanics (70M20) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Axiomatics, foundations (70A05)

Cites Work

• Qualitative and numerical-analytical investigation of the stability of motion
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Principle of averaging in nonlinear mechanics