Krylov-Bogoliubov-Mitropolsky method for nonlinear wave modulation
✍ Scribed by Kakutani, T.
- Book ID
- 111930983
- Publisher
- American Institute of Physics
- Year
- 1974
- Tongue
- English
- Weight
- 915 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0031-9171
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📜 SIMILAR VOLUMES
A general aqmptotic method based on the work of Krylov-Bogoliubov is developed to obtain the response of nonlinear over damped system. A second-order system with both roots real is treated first and the method is then extended to higher-order systems. ## Two illustrative examples show good agreem
A unified theory is presented for obtaining the transient response of nth order nonlinear systems with small nonlinearities by Krylov-Bogoliubov-Mitropolskii method. The method is a generalization of Bogoliubov's asymptotic method and covers all three cases when the roots of the corresponding linear
The objective of this paper is to consider the dynamic motions of second order, weakly non-linear, discrete systems. The main attention is focused on a comparison, for such systems, of the method of Krylov-Bogoliubov (KB) and an enhanced Galerkin (EG) method which produce seemingly different solutio