Asymptotic Methods in Resonance Analytical Dynamics: 1st Edition (Hardback) book cover

Asymptotic Methods in Resonance Analytical Dynamics

1st Edition

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

CRC Press

278 pages

Purchasing Options:$ = USD
Hardback: 9780415310086
pub: 2004-03-02
SAVE ~$26.25
Currently out of stock
$175.00
$148.75
x


FREE Standard Shipping!

Description

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.

Table of Contents

Asymptotic Methods in Resonance Analytical Dynamics presents new techniques for the analysis and construction of solutions to nonlinear, multi-frequency differential equations with small parameters. The authors examine two types of methods: Methods based on the generalized averaging technique of Krylov--Bogolubov, particularly useful in resonance cases, and methods based on numeric-analytic iterations, which can be automated. 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, such as the Newtonian three-body problem and the motion of a geostationary satellite.

Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
MAT007000
MATHEMATICS / Differential Equations