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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


On an asymptotic method of Krylov-Bogoli
✍ I. Suryanarayana Murty; B.L. Deekshatulu; G. Krishna 📂 Article 📅 1969 🏛 Elsevier Science 🌐 English ⚖ 895 KB

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 Krylov–Bogoliubov–Mitropolskii
✍ M.Shamsul Alam 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 123 KB

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 KRYLOV-BOGOLIUBOV AND GALERKIN METHO
✍ P. Yu; Y.M. Desai; N. Popplewell; A.H. Shah 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 663 KB

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