
Asymptotic Methods in Resonance Analytical Dynamics
CRC Press
1st Edition
Published on 2. March 2004
Book
Hardback
276 pages
978-0-415-31008-6 (ISBN)
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-Poincare. This text provides a useful source of reference for postgraduates and researchers working in this area of applied mathematics.
More details
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
Professional and scholarly
Dimensions
Height: 260 mm
Width: 183 mm
Thickness: 19 mm
Weight
719 gr
ISBN-13
978-0-415-31008-6 (9780415310086)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Grebenikov, Eugeniu; Mitropolsky, Yu. A.; Ryabov, Y.A.
Author
Russian Academy of Sciences, Moscow, Russia
Moscow Technical University, Russia
Series Editor
Content
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.