Asymptotic Methods in Resonance Analytical Dynamics

1st Edition

Eugeniu Grebenikov, Yu. A. Mitropolsky, Y.A. Ryabov

CRC Press
Published March 2, 2004
Reference - 278 Pages
ISBN 9780415310086 - CAT# TF1684

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Summary

Asymptotic Methods in Resonance Analytical Dynamics presents new asymptotic methods for the analysis and construction of solutions (mainly periodic and quasiperiodic) of differential equations with small parameters. Along with some background material and theory behind these methods, the authors also consider a variety of problems and applications in nonlinear mechanics and oscillation theory. The methods examined are based on two types: the generalized averaging technique of Krylov-Bogolubov and the numeric-analytical iterations of Lyapunov-Poincaré. This text provides a useful source of reference for postgraduates and researchers working in this area of applied mathematics.

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