A procedure to obtain the initial amplitude and phase for the Krylov- Bogoliubov method

DOI10.1016/0016-0032(77)90075-8zbMath0346.34028OpenAlexW2069117091MaRDI QIDQ1233552

R. A. Rink

Publication date: 1977

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(77)90075-8

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Numerical analysis in abstract spaces (65J99)

Uses Software

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Cites Work

• A unified Krylov-Bogoliubov method for solving second-order non-linear systems
• On an asymptotic method of Krylov-Bogoliubov for overdamped on linear systems
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