Buch, Englisch, 276 Seiten, Format (B × H): 180 mm x 263 mm, Gewicht: 662 g
Buch, Englisch, 276 Seiten, Format (B × H): 180 mm x 263 mm, Gewicht: 662 g
ISBN: 978-0-415-31008-6
Verlag: CRC Press
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.
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
Weitere Infos & Material
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.
