978-0-415-31008-6
Asymptotic Methods in Resonance Analytical Dynamics
Eugeniu Grebenikov, Yu. A. Mitropolsky and Y.A. Ryabov
Editorial: CRC Press Fecha de publicación: 02/03/2004 Páginas: 280Formato: Hardback
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.
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Differential Equations
Mathematics & Statistics for Engineers
Reference
Professional