Asymptotic Methods in Resonance Analytical Dynamics

Inbunden, Engelska, 2004

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2004-03-02
Mått:178 x 254 x 19 mm
Vikt:660 g
Format:Inbunden
Språk:Engelska
Antal sidor:276
Förlag:Taylor & Francis Ltd
ISBN:9780415310086

Utforska kategorier

Miljöteknik inom Naturvetenskap och teknik

Mer om författaren

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

Innehållsförteckning

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.